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Finding the Third Proportional to 546,034.50 and 826,692.75

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Solution

The third proportional to 546,034.50 and 826,692.75 is: 1,251,607.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,034.50 : 826,692.75 = 826,692.75 : x
  2. Step 2: Convert to fraction form
    546,034.50/826,692.75 = 826,692.75/x
  3. Step 3: Cross multiply
    546,034.50x = 826,692.75 × 826,692.75
  4. Step 4: Simplify right side
    546,034.50x = 683,420,902,902.56
  5. Step 5: Solve for x
    x = 683,420,902,902.56/546,034.50
  6. Step 6: Final answer
    x = 1,251,607.55

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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.