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Finding the Third Proportional to 291,639,920 and 688,443,503

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Solution

The third proportional to 291,639,920 and 688,443,503 is: 1,625,135,738.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,639,920 : 688,443,503 = 688,443,503 : x
  2. Step 2: Convert to fraction form
    291,639,920/688,443,503 = 688,443,503/x
  3. Step 3: Cross multiply
    291,639,920x = 688,443,503 × 688,443,503
  4. Step 4: Simplify right side
    291,639,920x = 473,954,456,822,911,040
  5. Step 5: Solve for x
    x = 473,954,456,822,911,040/291,639,920
  6. Step 6: Final answer
    x = 1,625,135,738.70

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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.