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Finding the Third Proportional to 587.50 and 896.75

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Solution

The third proportional to 587.50 and 896.75 is: 1,368.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.50 : 896.75 = 896.75 : x
  2. Step 2: Convert to fraction form
    587.50/896.75 = 896.75/x
  3. Step 3: Cross multiply
    587.50x = 896.75 × 896.75
  4. Step 4: Simplify right side
    587.50x = 804,160.56
  5. Step 5: Solve for x
    x = 804,160.56/587.50
  6. Step 6: Final answer
    x = 1,368.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.