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Finding the Third Proportional to 332,478 and 445,581

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Solution

The third proportional to 332,478 and 445,581 is: 597,159.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,478 : 445,581 = 445,581 : x
  2. Step 2: Convert to fraction form
    332,478/445,581 = 445,581/x
  3. Step 3: Cross multiply
    332,478x = 445,581 × 445,581
  4. Step 4: Simplify right side
    332,478x = 198,542,427,561
  5. Step 5: Solve for x
    x = 198,542,427,561/332,478
  6. Step 6: Final answer
    x = 597,159.59

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.