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Finding the Third Proportional to 415,680.75 and 625,367.25

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Solution

The third proportional to 415,680.75 and 625,367.25 is: 940,828.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,680.75 : 625,367.25 = 625,367.25 : x
  2. Step 2: Convert to fraction form
    415,680.75/625,367.25 = 625,367.25/x
  3. Step 3: Cross multiply
    415,680.75x = 625,367.25 × 625,367.25
  4. Step 4: Simplify right side
    415,680.75x = 391,084,197,372.56
  5. Step 5: Solve for x
    x = 391,084,197,372.56/415,680.75
  6. Step 6: Final answer
    x = 940,828.26

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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.