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Finding the Third Proportional to 391,227.75 and 857,265.75

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Solution

The third proportional to 391,227.75 and 857,265.75 is: 1,878,457.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,227.75 : 857,265.75 = 857,265.75 : x
  2. Step 2: Convert to fraction form
    391,227.75/857,265.75 = 857,265.75/x
  3. Step 3: Cross multiply
    391,227.75x = 857,265.75 × 857,265.75
  4. Step 4: Simplify right side
    391,227.75x = 734,904,566,123.06
  5. Step 5: Solve for x
    x = 734,904,566,123.06/391,227.75
  6. Step 6: Final answer
    x = 1,878,457.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.