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Finding the Third Proportional to 546,227.25 and 826,932

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Solution

The third proportional to 546,227.25 and 826,932 is: 1,251,890.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,227.25 : 826,932 = 826,932 : x
  2. Step 2: Convert to fraction form
    546,227.25/826,932 = 826,932/x
  3. Step 3: Cross multiply
    546,227.25x = 826,932 × 826,932
  4. Step 4: Simplify right side
    546,227.25x = 683,816,532,624
  5. Step 5: Solve for x
    x = 683,816,532,624/546,227.25
  6. Step 6: Final answer
    x = 1,251,890.18

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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.