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Finding the Third Proportional to 412,825.13 and 581,346.56

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Solution

The third proportional to 412,825.13 and 581,346.56 is: 818,660.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,825.13 : 581,346.56 = 581,346.56 : x
  2. Step 2: Convert to fraction form
    412,825.13/581,346.56 = 581,346.56/x
  3. Step 3: Cross multiply
    412,825.13x = 581,346.56 × 581,346.56
  4. Step 4: Simplify right side
    412,825.13x = 337,963,825,730.57
  5. Step 5: Solve for x
    x = 337,963,825,730.57/412,825.13
  6. Step 6: Final answer
    x = 818,660.99

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