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Finding the Third Proportional to 332,150 and 726,644

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Solution

The third proportional to 332,150 and 726,644 is: 1,589,677.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,150 : 726,644 = 726,644 : x
  2. Step 2: Convert to fraction form
    332,150/726,644 = 726,644/x
  3. Step 3: Cross multiply
    332,150x = 726,644 × 726,644
  4. Step 4: Simplify right side
    332,150x = 528,011,502,736
  5. Step 5: Solve for x
    x = 528,011,502,736/332,150
  6. Step 6: Final answer
    x = 1,589,677.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.