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Finding the Third Proportional to 754.39 and 1,165.76

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Solution

The third proportional to 754.39 and 1,165.76 is: 1,801.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.39 : 1,165.76 = 1,165.76 : x
  2. Step 2: Convert to fraction form
    754.39/1,165.76 = 1,165.76/x
  3. Step 3: Cross multiply
    754.39x = 1,165.76 × 1,165.76
  4. Step 4: Simplify right side
    754.39x = 1,358,994.69
  5. Step 5: Solve for x
    x = 1,358,994.69/754.39
  6. Step 6: Final answer
    x = 1,801.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.