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Finding the Third Proportional to 284,438 and 614,488

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Solution

The third proportional to 284,438 and 614,488 is: 1,327,514.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,438 : 614,488 = 614,488 : x
  2. Step 2: Convert to fraction form
    284,438/614,488 = 614,488/x
  3. Step 3: Cross multiply
    284,438x = 614,488 × 614,488
  4. Step 4: Simplify right side
    284,438x = 377,595,502,144
  5. Step 5: Solve for x
    x = 377,595,502,144/284,438
  6. Step 6: Final answer
    x = 1,327,514.26

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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.