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Finding the Third Proportional to 284,406 and 614,424

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Solution

The third proportional to 284,406 and 614,424 is: 1,327,387.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,406 : 614,424 = 614,424 : x
  2. Step 2: Convert to fraction form
    284,406/614,424 = 614,424/x
  3. Step 3: Cross multiply
    284,406x = 614,424 × 614,424
  4. Step 4: Simplify right side
    284,406x = 377,516,851,776
  5. Step 5: Solve for x
    x = 377,516,851,776/284,406
  6. Step 6: Final answer
    x = 1,327,387.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.