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Finding the Third Proportional to 292,722 and 441,384

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Solution

The third proportional to 292,722 and 441,384 is: 665,545.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,722 : 441,384 = 441,384 : x
  2. Step 2: Convert to fraction form
    292,722/441,384 = 441,384/x
  3. Step 3: Cross multiply
    292,722x = 441,384 × 441,384
  4. Step 4: Simplify right side
    292,722x = 194,819,835,456
  5. Step 5: Solve for x
    x = 194,819,835,456/292,722
  6. Step 6: Final answer
    x = 665,545.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.