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Finding the Third Proportional to 337,518 and 474,696

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Solution

The third proportional to 337,518 and 474,696 is: 667,627.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,518 : 474,696 = 474,696 : x
  2. Step 2: Convert to fraction form
    337,518/474,696 = 474,696/x
  3. Step 3: Cross multiply
    337,518x = 474,696 × 474,696
  4. Step 4: Simplify right side
    337,518x = 225,336,292,416
  5. Step 5: Solve for x
    x = 225,336,292,416/337,518
  6. Step 6: Final answer
    x = 667,627.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.