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Finding the Third Proportional to 412,902 and 581,436

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Solution

The third proportional to 412,902 and 581,436 is: 818,760.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,902 : 581,436 = 581,436 : x
  2. Step 2: Convert to fraction form
    412,902/581,436 = 581,436/x
  3. Step 3: Cross multiply
    412,902x = 581,436 × 581,436
  4. Step 4: Simplify right side
    412,902x = 338,067,822,096
  5. Step 5: Solve for x
    x = 338,067,822,096/412,902
  6. Step 6: Final answer
    x = 818,760.44

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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.