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Finding the Third Proportional to 707.06 and 1,178.30

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Solution

The third proportional to 707.06 and 1,178.30 is: 1,963.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.06 : 1,178.30 = 1,178.30 : x
  2. Step 2: Convert to fraction form
    707.06/1,178.30 = 1,178.30/x
  3. Step 3: Cross multiply
    707.06x = 1,178.30 × 1,178.30
  4. Step 4: Simplify right side
    707.06x = 1,388,383.53
  5. Step 5: Solve for x
    x = 1,388,383.53/707.06
  6. Step 6: Final answer
    x = 1,963.59

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.