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Finding the Third Proportional to 322,357.88 and 700,692.75

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Solution

The third proportional to 322,357.88 and 700,692.75 is: 1,523,059.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,357.88 : 700,692.75 = 700,692.75 : x
  2. Step 2: Convert to fraction form
    322,357.88/700,692.75 = 700,692.75/x
  3. Step 3: Cross multiply
    322,357.88x = 700,692.75 × 700,692.75
  4. Step 4: Simplify right side
    322,357.88x = 490,970,329,902.56
  5. Step 5: Solve for x
    x = 490,970,329,902.56/322,357.88
  6. Step 6: Final answer
    x = 1,523,059.83

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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.