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Finding the Third Proportional to 284,395,400 and 424,732,812

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Solution

The third proportional to 284,395,400 and 424,732,812 is: 634,320,954.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,395,400 : 424,732,812 = 424,732,812 : x
  2. Step 2: Convert to fraction form
    284,395,400/424,732,812 = 424,732,812/x
  3. Step 3: Cross multiply
    284,395,400x = 424,732,812 × 424,732,812
  4. Step 4: Simplify right side
    284,395,400x = 180,397,961,589,427,328
  5. Step 5: Solve for x
    x = 180,397,961,589,427,328/284,395,400
  6. Step 6: Final answer
    x = 634,320,954.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.