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Finding the Third Proportional to 381,271.50 and 752,973.75

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Solution

The third proportional to 381,271.50 and 752,973.75 is: 1,487,049.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,271.50 : 752,973.75 = 752,973.75 : x
  2. Step 2: Convert to fraction form
    381,271.50/752,973.75 = 752,973.75/x
  3. Step 3: Cross multiply
    381,271.50x = 752,973.75 × 752,973.75
  4. Step 4: Simplify right side
    381,271.50x = 566,969,468,189.06
  5. Step 5: Solve for x
    x = 566,969,468,189.06/381,271.50
  6. Step 6: Final answer
    x = 1,487,049.17

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.