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Finding the Third Proportional to 412,904 and 581,439

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Solution

The third proportional to 412,904 and 581,439 is: 818,764.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,904 : 581,439 = 581,439 : x
  2. Step 2: Convert to fraction form
    412,904/581,439 = 581,439/x
  3. Step 3: Cross multiply
    412,904x = 581,439 × 581,439
  4. Step 4: Simplify right side
    412,904x = 338,071,310,721
  5. Step 5: Solve for x
    x = 338,071,310,721/412,904
  6. Step 6: Final answer
    x = 818,764.92

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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.