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Finding the Third Proportional to 360,473,259.38 and 740,056,137.75

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Solution

The third proportional to 360,473,259.38 and 740,056,137.75 is: 1,519,344,563.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,473,259.38 : 740,056,137.75 = 740,056,137.75 : x
  2. Step 2: Convert to fraction form
    360,473,259.38/740,056,137.75 = 740,056,137.75/x
  3. Step 3: Cross multiply
    360,473,259.38x = 740,056,137.75 × 740,056,137.75
  4. Step 4: Simplify right side
    360,473,259.38x = 547,683,087,021,446,976
  5. Step 5: Solve for x
    x = 547,683,087,021,446,976/360,473,259.38
  6. Step 6: Final answer
    x = 1,519,344,563.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.