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Finding the Third Proportional to 284,654 and 613,294

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Solution

The third proportional to 284,654 and 613,294 is: 1,321,356.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,654 : 613,294 = 613,294 : x
  2. Step 2: Convert to fraction form
    284,654/613,294 = 613,294/x
  3. Step 3: Cross multiply
    284,654x = 613,294 × 613,294
  4. Step 4: Simplify right side
    284,654x = 376,129,530,436
  5. Step 5: Solve for x
    x = 376,129,530,436/284,654
  6. Step 6: Final answer
    x = 1,321,356.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.