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Finding the Third Proportional to 662.06 and 864.56

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Solution

The third proportional to 662.06 and 864.56 is: 1,129.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.06 : 864.56 = 864.56 : x
  2. Step 2: Convert to fraction form
    662.06/864.56 = 864.56/x
  3. Step 3: Cross multiply
    662.06x = 864.56 × 864.56
  4. Step 4: Simplify right side
    662.06x = 747,468.32
  5. Step 5: Solve for x
    x = 747,468.32/662.06
  6. Step 6: Final answer
    x = 1,129.00

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.