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Finding the Third Proportional to 781.88 and 1,178.44

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Solution

The third proportional to 781.88 and 1,178.44 is: 1,776.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.88 : 1,178.44 = 1,178.44 : x
  2. Step 2: Convert to fraction form
    781.88/1,178.44 = 1,178.44/x
  3. Step 3: Cross multiply
    781.88x = 1,178.44 × 1,178.44
  4. Step 4: Simplify right side
    781.88x = 1,388,714.94
  5. Step 5: Solve for x
    x = 1,388,714.94/781.88
  6. Step 6: Final answer
    x = 1,776.13

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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.