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Finding the Third Proportional to 338,677.50 and 746,469

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Solution

The third proportional to 338,677.50 and 746,469 is: 1,645,270.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,677.50 : 746,469 = 746,469 : x
  2. Step 2: Convert to fraction form
    338,677.50/746,469 = 746,469/x
  3. Step 3: Cross multiply
    338,677.50x = 746,469 × 746,469
  4. Step 4: Simplify right side
    338,677.50x = 557,215,967,961
  5. Step 5: Solve for x
    x = 557,215,967,961/338,677.50
  6. Step 6: Final answer
    x = 1,645,270.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.