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Finding the Third Proportional to 559.41 and 896.20

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Solution

The third proportional to 559.41 and 896.20 is: 1,435.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.41 : 896.20 = 896.20 : x
  2. Step 2: Convert to fraction form
    559.41/896.20 = 896.20/x
  3. Step 3: Cross multiply
    559.41x = 896.20 × 896.20
  4. Step 4: Simplify right side
    559.41x = 803,180.04
  5. Step 5: Solve for x
    x = 803,180.04/559.41
  6. Step 6: Final answer
    x = 1,435.77

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.