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Finding the Third Proportional to 370,614.66 and 809,200.97

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Solution

The third proportional to 370,614.66 and 809,200.97 is: 1,766,811.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,614.66 : 809,200.97 = 809,200.97 : x
  2. Step 2: Convert to fraction form
    370,614.66/809,200.97 = 809,200.97/x
  3. Step 3: Cross multiply
    370,614.66x = 809,200.97 × 809,200.97
  4. Step 4: Simplify right side
    370,614.66x = 654,806,207,825.94
  5. Step 5: Solve for x
    x = 654,806,207,825.94/370,614.66
  6. Step 6: Final answer
    x = 1,766,811.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.