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Finding the Third Proportional to 427,650.75 and 925,882.88

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Solution

The third proportional to 427,650.75 and 925,882.88 is: 2,004,577.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,650.75 : 925,882.88 = 925,882.88 : x
  2. Step 2: Convert to fraction form
    427,650.75/925,882.88 = 925,882.88/x
  3. Step 3: Cross multiply
    427,650.75x = 925,882.88 × 925,882.88
  4. Step 4: Simplify right side
    427,650.75x = 857,259,098,218.27
  5. Step 5: Solve for x
    x = 857,259,098,218.27/427,650.75
  6. Step 6: Final answer
    x = 2,004,577.56

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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.