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Finding the Third Proportional to 417,975 and 625,989

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Solution

The third proportional to 417,975 and 625,989 is: 937,525.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,975 : 625,989 = 625,989 : x
  2. Step 2: Convert to fraction form
    417,975/625,989 = 625,989/x
  3. Step 3: Cross multiply
    417,975x = 625,989 × 625,989
  4. Step 4: Simplify right side
    417,975x = 391,862,228,121
  5. Step 5: Solve for x
    x = 391,862,228,121/417,975
  6. Step 6: Final answer
    x = 937,525.52

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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.