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Finding the Third Proportional to 431,948.25 and 639,420.75

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Solution

The third proportional to 431,948.25 and 639,420.75 is: 946,546.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,948.25 : 639,420.75 = 639,420.75 : x
  2. Step 2: Convert to fraction form
    431,948.25/639,420.75 = 639,420.75/x
  3. Step 3: Cross multiply
    431,948.25x = 639,420.75 × 639,420.75
  4. Step 4: Simplify right side
    431,948.25x = 408,858,895,530.56
  5. Step 5: Solve for x
    x = 408,858,895,530.56/431,948.25
  6. Step 6: Final answer
    x = 946,546.02

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.