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Finding the Third Proportional to 237,585.94 and 516,997.69

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Solution

The third proportional to 237,585.94 and 516,997.69 is: 1,125,010.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,585.94 : 516,997.69 = 516,997.69 : x
  2. Step 2: Convert to fraction form
    237,585.94/516,997.69 = 516,997.69/x
  3. Step 3: Cross multiply
    237,585.94x = 516,997.69 × 516,997.69
  4. Step 4: Simplify right side
    237,585.94x = 267,286,608,880.35
  5. Step 5: Solve for x
    x = 267,286,608,880.35/237,585.94
  6. Step 6: Final answer
    x = 1,125,010.22

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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.