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Finding the Third Proportional to 417,977 and 625,992

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Solution

The third proportional to 417,977 and 625,992 is: 937,530.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,977 : 625,992 = 625,992 : x
  2. Step 2: Convert to fraction form
    417,977/625,992 = 625,992/x
  3. Step 3: Cross multiply
    417,977x = 625,992 × 625,992
  4. Step 4: Simplify right side
    417,977x = 391,865,984,064
  5. Step 5: Solve for x
    x = 391,865,984,064/417,977
  6. Step 6: Final answer
    x = 937,530.02

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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.