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Finding the Third Proportional to 547.73 and 787.36

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Solution

The third proportional to 547.73 and 787.36 is: 1,131.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.73 : 787.36 = 787.36 : x
  2. Step 2: Convert to fraction form
    547.73/787.36 = 787.36/x
  3. Step 3: Cross multiply
    547.73x = 787.36 × 787.36
  4. Step 4: Simplify right side
    547.73x = 619,934.79
  5. Step 5: Solve for x
    x = 619,934.79/547.73
  6. Step 6: Final answer
    x = 1,131.82

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.