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Finding the Third Proportional to 417,255 and 625,600

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Solution

The third proportional to 417,255 and 625,600 is: 937,976.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,255 : 625,600 = 625,600 : x
  2. Step 2: Convert to fraction form
    417,255/625,600 = 625,600/x
  3. Step 3: Cross multiply
    417,255x = 625,600 × 625,600
  4. Step 4: Simplify right side
    417,255x = 391,375,360,000
  5. Step 5: Solve for x
    x = 391,375,360,000/417,255
  6. Step 6: Final answer
    x = 937,976.44

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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.