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Finding the Third Proportional to 412,807.50 and 581,323.88

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Solution

The third proportional to 412,807.50 and 581,323.88 is: 818,632.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,807.50 : 581,323.88 = 581,323.88 : x
  2. Step 2: Convert to fraction form
    412,807.50/581,323.88 = 581,323.88/x
  3. Step 3: Cross multiply
    412,807.50x = 581,323.88 × 581,323.88
  4. Step 4: Simplify right side
    412,807.50x = 337,937,447,645.02
  5. Step 5: Solve for x
    x = 337,937,447,645.02/412,807.50
  6. Step 6: Final answer
    x = 818,632.04

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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.