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Finding the Third Proportional to 360,473,264.25 and 740,056,146.75

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Solution

The third proportional to 360,473,264.25 and 740,056,146.75 is: 1,519,344,580.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,473,264.25 : 740,056,146.75 = 740,056,146.75 : x
  2. Step 2: Convert to fraction form
    360,473,264.25/740,056,146.75 = 740,056,146.75/x
  3. Step 3: Cross multiply
    360,473,264.25x = 740,056,146.75 × 740,056,146.75
  4. Step 4: Simplify right side
    360,473,264.25x = 547,683,100,342,457,536
  5. Step 5: Solve for x
    x = 547,683,100,342,457,536/360,473,264.25
  6. Step 6: Final answer
    x = 1,519,344,580.19

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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.