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Finding the Third Proportional to 360,284,209 and 730,593,747

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Solution

The third proportional to 360,284,209 and 730,593,747 is: 1,481,517,118.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,284,209 : 730,593,747 = 730,593,747 : x
  2. Step 2: Convert to fraction form
    360,284,209/730,593,747 = 730,593,747/x
  3. Step 3: Cross multiply
    360,284,209x = 730,593,747 × 730,593,747
  4. Step 4: Simplify right side
    360,284,209x = 533,767,223,155,500,032
  5. Step 5: Solve for x
    x = 533,767,223,155,500,032/360,284,209
  6. Step 6: Final answer
    x = 1,481,517,118.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.