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Finding the Third Proportional to 997.39 and 1,509.97

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Solution

The third proportional to 997.39 and 1,509.97 is: 2,285.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.39 : 1,509.97 = 1,509.97 : x
  2. Step 2: Convert to fraction form
    997.39/1,509.97 = 1,509.97/x
  3. Step 3: Cross multiply
    997.39x = 1,509.97 × 1,509.97
  4. Step 4: Simplify right side
    997.39x = 2,280,008.58
  5. Step 5: Solve for x
    x = 2,280,008.58/997.39
  6. Step 6: Final answer
    x = 2,285.97

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Why These Related Problems?

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