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Finding the Third Proportional to 754.88 and 1,148.63

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Solution

The third proportional to 754.88 and 1,148.63 is: 1,747.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.88 : 1,148.63 = 1,148.63 : x
  2. Step 2: Convert to fraction form
    754.88/1,148.63 = 1,148.63/x
  3. Step 3: Cross multiply
    754.88x = 1,148.63 × 1,148.63
  4. Step 4: Simplify right side
    754.88x = 1,319,339.39
  5. Step 5: Solve for x
    x = 1,319,339.39/754.88
  6. Step 6: Final answer
    x = 1,747.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.