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Finding the Third Proportional to 260,549.16 and 391,450.22

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Solution

The third proportional to 260,549.16 and 391,450.22 is: 588,116.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,549.16 : 391,450.22 = 391,450.22 : x
  2. Step 2: Convert to fraction form
    260,549.16/391,450.22 = 391,450.22/x
  3. Step 3: Cross multiply
    260,549.16x = 391,450.22 × 391,450.22
  4. Step 4: Simplify right side
    260,549.16x = 153,233,273,759.42
  5. Step 5: Solve for x
    x = 153,233,273,759.42/260,549.16
  6. Step 6: Final answer
    x = 588,116.56

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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.