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Finding the Third Proportional to 284,601.75 and 428,772.75

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Solution

The third proportional to 284,601.75 and 428,772.75 is: 645,976.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,601.75 : 428,772.75 = 428,772.75 : x
  2. Step 2: Convert to fraction form
    284,601.75/428,772.75 = 428,772.75/x
  3. Step 3: Cross multiply
    284,601.75x = 428,772.75 × 428,772.75
  4. Step 4: Simplify right side
    284,601.75x = 183,846,071,142.56
  5. Step 5: Solve for x
    x = 183,846,071,142.56/284,601.75
  6. Step 6: Final answer
    x = 645,976.60

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.