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Finding the Third Proportional to 472,401 and 717,349

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Solution

The third proportional to 472,401 and 717,349 is: 1,089,306.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,401 : 717,349 = 717,349 : x
  2. Step 2: Convert to fraction form
    472,401/717,349 = 717,349/x
  3. Step 3: Cross multiply
    472,401x = 717,349 × 717,349
  4. Step 4: Simplify right side
    472,401x = 514,589,587,801
  5. Step 5: Solve for x
    x = 514,589,587,801/472,401
  6. Step 6: Final answer
    x = 1,089,306.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.