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Finding the Third Proportional to 291,640,673 and 688,445,352

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Solution

The third proportional to 291,640,673 and 688,445,352 is: 1,625,140,272.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,640,673 : 688,445,352 = 688,445,352 : x
  2. Step 2: Convert to fraction form
    291,640,673/688,445,352 = 688,445,352/x
  3. Step 3: Cross multiply
    291,640,673x = 688,445,352 × 688,445,352
  4. Step 4: Simplify right side
    291,640,673x = 473,957,002,690,403,904
  5. Step 5: Solve for x
    x = 473,957,002,690,403,904/291,640,673
  6. Step 6: Final answer
    x = 1,625,140,272.15

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.