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Finding the Third Proportional to 546,223.50 and 826,926.75

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Solution

The third proportional to 546,223.50 and 826,926.75 is: 1,251,882.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,223.50 : 826,926.75 = 826,926.75 : x
  2. Step 2: Convert to fraction form
    546,223.50/826,926.75 = 826,926.75/x
  3. Step 3: Cross multiply
    546,223.50x = 826,926.75 × 826,926.75
  4. Step 4: Simplify right side
    546,223.50x = 683,807,849,865.56
  5. Step 5: Solve for x
    x = 683,807,849,865.56/546,223.50
  6. Step 6: Final answer
    x = 1,251,882.88

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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.