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Finding the Third Proportional to 412.59 and 896.48

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Solution

The third proportional to 412.59 and 896.48 is: 1,947.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.59 : 896.48 = 896.48 : x
  2. Step 2: Convert to fraction form
    412.59/896.48 = 896.48/x
  3. Step 3: Cross multiply
    412.59x = 896.48 × 896.48
  4. Step 4: Simplify right side
    412.59x = 803,684.23
  5. Step 5: Solve for x
    x = 803,684.23/412.59
  6. Step 6: Final answer
    x = 1,947.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.