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Finding the Third Proportional to 325.27 and 701.79

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Solution

The third proportional to 325.27 and 701.79 is: 1,514.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.27 : 701.79 = 701.79 : x
  2. Step 2: Convert to fraction form
    325.27/701.79 = 701.79/x
  3. Step 3: Cross multiply
    325.27x = 701.79 × 701.79
  4. Step 4: Simplify right side
    325.27x = 492,507.89
  5. Step 5: Solve for x
    x = 492,507.89/325.27
  6. Step 6: Final answer
    x = 1,514.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.