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Finding the Third Proportional to 767.18 and 1,036.44

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Solution

The third proportional to 767.18 and 1,036.44 is: 1,400.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.18 : 1,036.44 = 1,036.44 : x
  2. Step 2: Convert to fraction form
    767.18/1,036.44 = 1,036.44/x
  3. Step 3: Cross multiply
    767.18x = 1,036.44 × 1,036.44
  4. Step 4: Simplify right side
    767.18x = 1,074,210.79
  5. Step 5: Solve for x
    x = 1,074,210.79/767.18
  6. Step 6: Final answer
    x = 1,400.21

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.