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Finding the Third Proportional to 260,442 and 391,357

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Solution

The third proportional to 260,442 and 391,357 is: 588,078.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,442 : 391,357 = 391,357 : x
  2. Step 2: Convert to fraction form
    260,442/391,357 = 391,357/x
  3. Step 3: Cross multiply
    260,442x = 391,357 × 391,357
  4. Step 4: Simplify right side
    260,442x = 153,160,301,449
  5. Step 5: Solve for x
    x = 153,160,301,449/260,442
  6. Step 6: Final answer
    x = 588,078.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.