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Finding the Third Proportional to 442,314 and 667,136.25

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Solution

The third proportional to 442,314 and 667,136.25 is: 1,006,232.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,314 : 667,136.25 = 667,136.25 : x
  2. Step 2: Convert to fraction form
    442,314/667,136.25 = 667,136.25/x
  3. Step 3: Cross multiply
    442,314x = 667,136.25 × 667,136.25
  4. Step 4: Simplify right side
    442,314x = 445,070,776,064.06
  5. Step 5: Solve for x
    x = 445,070,776,064.06/442,314
  6. Step 6: Final answer
    x = 1,006,232.62

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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.