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Finding the Third Proportional to 285,653.25 and 419,640.75

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Solution

The third proportional to 285,653.25 and 419,640.75 is: 616,475.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,653.25 : 419,640.75 = 419,640.75 : x
  2. Step 2: Convert to fraction form
    285,653.25/419,640.75 = 419,640.75/x
  3. Step 3: Cross multiply
    285,653.25x = 419,640.75 × 419,640.75
  4. Step 4: Simplify right side
    285,653.25x = 176,098,359,060.56
  5. Step 5: Solve for x
    x = 176,098,359,060.56/285,653.25
  6. Step 6: Final answer
    x = 616,475.95

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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.