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Finding the Third Proportional to 482,470.75 and 709,672.75

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Solution

The third proportional to 482,470.75 and 709,672.75 is: 1,043,867.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,470.75 : 709,672.75 = 709,672.75 : x
  2. Step 2: Convert to fraction form
    482,470.75/709,672.75 = 709,672.75/x
  3. Step 3: Cross multiply
    482,470.75x = 709,672.75 × 709,672.75
  4. Step 4: Simplify right side
    482,470.75x = 503,635,412,092.56
  5. Step 5: Solve for x
    x = 503,635,412,092.56/482,470.75
  6. Step 6: Final answer
    x = 1,043,867.24

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.