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Finding the Third Proportional to 746.13 and 1,175.88

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Solution

The third proportional to 746.13 and 1,175.88 is: 1,853.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.13 : 1,175.88 = 1,175.88 : x
  2. Step 2: Convert to fraction form
    746.13/1,175.88 = 1,175.88/x
  3. Step 3: Cross multiply
    746.13x = 1,175.88 × 1,175.88
  4. Step 4: Simplify right side
    746.13x = 1,382,682.02
  5. Step 5: Solve for x
    x = 1,382,682.02/746.13
  6. Step 6: Final answer
    x = 1,853.15

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.