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Finding the Third Proportional to 467,151.75 and 647,136

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Solution

The third proportional to 467,151.75 and 647,136 is: 896,464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,151.75 : 647,136 = 647,136 : x
  2. Step 2: Convert to fraction form
    467,151.75/647,136 = 647,136/x
  3. Step 3: Cross multiply
    467,151.75x = 647,136 × 647,136
  4. Step 4: Simplify right side
    467,151.75x = 418,785,002,496
  5. Step 5: Solve for x
    x = 418,785,002,496/467,151.75
  6. Step 6: Final answer
    x = 896,464.59

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.