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Finding the Third Proportional to 997.31 and 1,461.66

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Solution

The third proportional to 997.31 and 1,461.66 is: 2,142.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.31 : 1,461.66 = 1,461.66 : x
  2. Step 2: Convert to fraction form
    997.31/1,461.66 = 1,461.66/x
  3. Step 3: Cross multiply
    997.31x = 1,461.66 × 1,461.66
  4. Step 4: Simplify right side
    997.31x = 2,136,438.99
  5. Step 5: Solve for x
    x = 2,136,438.99/997.31
  6. Step 6: Final answer
    x = 2,142.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.