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Finding the Third Proportional to 767.44 and 1,158.28

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Solution

The third proportional to 767.44 and 1,158.28 is: 1,748.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.44 : 1,158.28 = 1,158.28 : x
  2. Step 2: Convert to fraction form
    767.44/1,158.28 = 1,158.28/x
  3. Step 3: Cross multiply
    767.44x = 1,158.28 × 1,158.28
  4. Step 4: Simplify right side
    767.44x = 1,341,622.24
  5. Step 5: Solve for x
    x = 1,341,622.24/767.44
  6. Step 6: Final answer
    x = 1,748.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.