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Finding the Third Proportional to 764.06 and 1,016.06

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Solution

The third proportional to 764.06 and 1,016.06 is: 1,351.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.06 : 1,016.06 = 1,016.06 : x
  2. Step 2: Convert to fraction form
    764.06/1,016.06 = 1,016.06/x
  3. Step 3: Cross multiply
    764.06x = 1,016.06 × 1,016.06
  4. Step 4: Simplify right side
    764.06x = 1,032,383.00
  5. Step 5: Solve for x
    x = 1,032,383.00/764.06
  6. Step 6: Final answer
    x = 1,351.18

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.