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Finding the Third Proportional to 417,266 and 625,614

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Solution

The third proportional to 417,266 and 625,614 is: 937,993.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,266 : 625,614 = 625,614 : x
  2. Step 2: Convert to fraction form
    417,266/625,614 = 625,614/x
  3. Step 3: Cross multiply
    417,266x = 625,614 × 625,614
  4. Step 4: Simplify right side
    417,266x = 391,392,876,996
  5. Step 5: Solve for x
    x = 391,392,876,996/417,266
  6. Step 6: Final answer
    x = 937,993.69

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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.