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Finding the Third Proportional to 457,635.38 and 953,147.25

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Solution

The third proportional to 457,635.38 and 953,147.25 is: 1,985,182.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,635.38 : 953,147.25 = 953,147.25 : x
  2. Step 2: Convert to fraction form
    457,635.38/953,147.25 = 953,147.25/x
  3. Step 3: Cross multiply
    457,635.38x = 953,147.25 × 953,147.25
  4. Step 4: Simplify right side
    457,635.38x = 908,489,680,182.56
  5. Step 5: Solve for x
    x = 908,489,680,182.56/457,635.38
  6. Step 6: Final answer
    x = 1,985,182.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.