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Finding the Third Proportional to 714.66 and 1,093.08

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Solution

The third proportional to 714.66 and 1,093.08 is: 1,671.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.66 : 1,093.08 = 1,093.08 : x
  2. Step 2: Convert to fraction form
    714.66/1,093.08 = 1,093.08/x
  3. Step 3: Cross multiply
    714.66x = 1,093.08 × 1,093.08
  4. Step 4: Simplify right side
    714.66x = 1,194,819.79
  5. Step 5: Solve for x
    x = 1,194,819.79/714.66
  6. Step 6: Final answer
    x = 1,671.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.