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Finding the Third Proportional to 458,932.50 and 645,136.31

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Solution

The third proportional to 458,932.50 and 645,136.31 is: 906,889.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,932.50 : 645,136.31 = 645,136.31 : x
  2. Step 2: Convert to fraction form
    458,932.50/645,136.31 = 645,136.31/x
  3. Step 3: Cross multiply
    458,932.50x = 645,136.31 × 645,136.31
  4. Step 4: Simplify right side
    458,932.50x = 416,200,861,706.10
  5. Step 5: Solve for x
    x = 416,200,861,706.10/458,932.50
  6. Step 6: Final answer
    x = 906,889.06

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.