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Finding the Third Proportional to 313,049.25 and 475,557.75

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Solution

The third proportional to 313,049.25 and 475,557.75 is: 722,426.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,049.25 : 475,557.75 = 475,557.75 : x
  2. Step 2: Convert to fraction form
    313,049.25/475,557.75 = 475,557.75/x
  3. Step 3: Cross multiply
    313,049.25x = 475,557.75 × 475,557.75
  4. Step 4: Simplify right side
    313,049.25x = 226,155,173,585.06
  5. Step 5: Solve for x
    x = 226,155,173,585.06/313,049.25
  6. Step 6: Final answer
    x = 722,426.82

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.