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Finding the Third Proportional to 325.11 and 701.00

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Solution

The third proportional to 325.11 and 701.00 is: 1,511.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.11 : 701.00 = 701.00 : x
  2. Step 2: Convert to fraction form
    325.11/701.00 = 701.00/x
  3. Step 3: Cross multiply
    325.11x = 701.00 × 701.00
  4. Step 4: Simplify right side
    325.11x = 491,398.26
  5. Step 5: Solve for x
    x = 491,398.26/325.11
  6. Step 6: Final answer
    x = 1,511.50

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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.