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Finding the Third Proportional to 894.16 and 1,359.76

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Solution

The third proportional to 894.16 and 1,359.76 is: 2,067.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.16 : 1,359.76 = 1,359.76 : x
  2. Step 2: Convert to fraction form
    894.16/1,359.76 = 1,359.76/x
  3. Step 3: Cross multiply
    894.16x = 1,359.76 × 1,359.76
  4. Step 4: Simplify right side
    894.16x = 1,848,936.00
  5. Step 5: Solve for x
    x = 1,848,936.00/894.16
  6. Step 6: Final answer
    x = 2,067.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.