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Finding the Third Proportional to 247,882.78 and 536,976.84

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Solution

The third proportional to 247,882.78 and 536,976.84 is: 1,163,227.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,882.78 : 536,976.84 = 536,976.84 : x
  2. Step 2: Convert to fraction form
    247,882.78/536,976.84 = 536,976.84/x
  3. Step 3: Cross multiply
    247,882.78x = 536,976.84 × 536,976.84
  4. Step 4: Simplify right side
    247,882.78x = 288,344,130,723.71
  5. Step 5: Solve for x
    x = 288,344,130,723.71/247,882.78
  6. Step 6: Final answer
    x = 1,163,227.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.