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Finding the Third Proportional to 332,282 and 515,474

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Solution

The third proportional to 332,282 and 515,474 is: 799,662.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,282 : 515,474 = 515,474 : x
  2. Step 2: Convert to fraction form
    332,282/515,474 = 515,474/x
  3. Step 3: Cross multiply
    332,282x = 515,474 × 515,474
  4. Step 4: Simplify right side
    332,282x = 265,713,444,676
  5. Step 5: Solve for x
    x = 265,713,444,676/332,282
  6. Step 6: Final answer
    x = 799,662.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.