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Finding the Third Proportional to 332,348 and 720,782

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Solution

The third proportional to 332,348 and 720,782 is: 1,563,200.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,348 : 720,782 = 720,782 : x
  2. Step 2: Convert to fraction form
    332,348/720,782 = 720,782/x
  3. Step 3: Cross multiply
    332,348x = 720,782 × 720,782
  4. Step 4: Simplify right side
    332,348x = 519,526,691,524
  5. Step 5: Solve for x
    x = 519,526,691,524/332,348
  6. Step 6: Final answer
    x = 1,563,200.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.