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Finding the Third Proportional to 332,802 and 718,092

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Solution

The third proportional to 332,802 and 718,092 is: 1,549,438.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,802 : 718,092 = 718,092 : x
  2. Step 2: Convert to fraction form
    332,802/718,092 = 718,092/x
  3. Step 3: Cross multiply
    332,802x = 718,092 × 718,092
  4. Step 4: Simplify right side
    332,802x = 515,656,120,464
  5. Step 5: Solve for x
    x = 515,656,120,464/332,802
  6. Step 6: Final answer
    x = 1,549,438.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.