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Finding the Third Proportional to 337,950 and 472,479

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Solution

The third proportional to 337,950 and 472,479 is: 660,560.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,950 : 472,479 = 472,479 : x
  2. Step 2: Convert to fraction form
    337,950/472,479 = 472,479/x
  3. Step 3: Cross multiply
    337,950x = 472,479 × 472,479
  4. Step 4: Simplify right side
    337,950x = 223,236,405,441
  5. Step 5: Solve for x
    x = 223,236,405,441/337,950
  6. Step 6: Final answer
    x = 660,560.45

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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.