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Finding the Third Proportional to 356,347 and 792,377

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Solution

The third proportional to 356,347 and 792,377 is: 1,761,937.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,347 : 792,377 = 792,377 : x
  2. Step 2: Convert to fraction form
    356,347/792,377 = 792,377/x
  3. Step 3: Cross multiply
    356,347x = 792,377 × 792,377
  4. Step 4: Simplify right side
    356,347x = 627,861,310,129
  5. Step 5: Solve for x
    x = 627,861,310,129/356,347
  6. Step 6: Final answer
    x = 1,761,937.97

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.