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Finding the Third Proportional to 284,049 and 616,374

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Solution

The third proportional to 284,049 and 616,374 is: 1,337,504.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,049 : 616,374 = 616,374 : x
  2. Step 2: Convert to fraction form
    284,049/616,374 = 616,374/x
  3. Step 3: Cross multiply
    284,049x = 616,374 × 616,374
  4. Step 4: Simplify right side
    284,049x = 379,916,907,876
  5. Step 5: Solve for x
    x = 379,916,907,876/284,049
  6. Step 6: Final answer
    x = 1,337,504.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.