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Finding the Third Proportional to 896.63 and 1,202.55

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Solution

The third proportional to 896.63 and 1,202.55 is: 1,612.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.63 : 1,202.55 = 1,202.55 : x
  2. Step 2: Convert to fraction form
    896.63/1,202.55 = 1,202.55/x
  3. Step 3: Cross multiply
    896.63x = 1,202.55 × 1,202.55
  4. Step 4: Simplify right side
    896.63x = 1,446,137.78
  5. Step 5: Solve for x
    x = 1,446,137.78/896.63
  6. Step 6: Final answer
    x = 1,612.87

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.