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Finding the Third Proportional to 416.87 and 897.64

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Solution

The third proportional to 416.87 and 897.64 is: 1,932.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.87 : 897.64 = 897.64 : x
  2. Step 2: Convert to fraction form
    416.87/897.64 = 897.64/x
  3. Step 3: Cross multiply
    416.87x = 897.64 × 897.64
  4. Step 4: Simplify right side
    416.87x = 805,765.70
  5. Step 5: Solve for x
    x = 805,765.70/416.87
  6. Step 6: Final answer
    x = 1,932.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.