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Finding the Third Proportional to 551.81 and 997.31

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Solution

The third proportional to 551.81 and 997.31 is: 1,802.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.81 : 997.31 = 997.31 : x
  2. Step 2: Convert to fraction form
    551.81/997.31 = 997.31/x
  3. Step 3: Cross multiply
    551.81x = 997.31 × 997.31
  4. Step 4: Simplify right side
    551.81x = 994,632.22
  5. Step 5: Solve for x
    x = 994,632.22/551.81
  6. Step 6: Final answer
    x = 1,802.48

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.