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Finding the Third Proportional to 412,992 and 581,592.75

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Solution

The third proportional to 412,992 and 581,592.75 is: 819,023.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,992 : 581,592.75 = 581,592.75 : x
  2. Step 2: Convert to fraction form
    412,992/581,592.75 = 581,592.75/x
  3. Step 3: Cross multiply
    412,992x = 581,592.75 × 581,592.75
  4. Step 4: Simplify right side
    412,992x = 338,250,126,852.56
  5. Step 5: Solve for x
    x = 338,250,126,852.56/412,992
  6. Step 6: Final answer
    x = 819,023.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.