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Finding the Third Proportional to 408 and 897.75

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Solution

The third proportional to 408 and 897.75 is: 1,975.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    408 : 897.75 = 897.75 : x
  2. Step 2: Convert to fraction form
    408/897.75 = 897.75/x
  3. Step 3: Cross multiply
    408x = 897.75 × 897.75
  4. Step 4: Simplify right side
    408x = 805,955.06
  5. Step 5: Solve for x
    x = 805,955.06/408
  6. Step 6: Final answer
    x = 1,975.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.