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Finding the Third Proportional to 814.50 and 897.75

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Solution

The third proportional to 814.50 and 897.75 is: 989.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.50 : 897.75 = 897.75 : x
  2. Step 2: Convert to fraction form
    814.50/897.75 = 897.75/x
  3. Step 3: Cross multiply
    814.50x = 897.75 × 897.75
  4. Step 4: Simplify right side
    814.50x = 805,955.06
  5. Step 5: Solve for x
    x = 805,955.06/814.50
  6. Step 6: Final answer
    x = 989.51

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.