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Finding the Third Proportional to 337,933 and 472,451

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Solution

The third proportional to 337,933 and 472,451 is: 660,515.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,933 : 472,451 = 472,451 : x
  2. Step 2: Convert to fraction form
    337,933/472,451 = 472,451/x
  3. Step 3: Cross multiply
    337,933x = 472,451 × 472,451
  4. Step 4: Simplify right side
    337,933x = 223,209,947,401
  5. Step 5: Solve for x
    x = 223,209,947,401/337,933
  6. Step 6: Final answer
    x = 660,515.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.