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Finding the Third Proportional to 547.31 and 802.88

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Solution

The third proportional to 547.31 and 802.88 is: 1,177.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.31 : 802.88 = 802.88 : x
  2. Step 2: Convert to fraction form
    547.31/802.88 = 802.88/x
  3. Step 3: Cross multiply
    547.31x = 802.88 × 802.88
  4. Step 4: Simplify right side
    547.31x = 644,608.27
  5. Step 5: Solve for x
    x = 644,608.27/547.31
  6. Step 6: Final answer
    x = 1,177.77

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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.