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Finding the Third Proportional to 403,832.25 and 625,218.75

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Solution

The third proportional to 403,832.25 and 625,218.75 is: 967,972.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,832.25 : 625,218.75 = 625,218.75 : x
  2. Step 2: Convert to fraction form
    403,832.25/625,218.75 = 625,218.75/x
  3. Step 3: Cross multiply
    403,832.25x = 625,218.75 × 625,218.75
  4. Step 4: Simplify right side
    403,832.25x = 390,898,485,351.56
  5. Step 5: Solve for x
    x = 390,898,485,351.56/403,832.25
  6. Step 6: Final answer
    x = 967,972.43

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.