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Finding the Third Proportional to 559.75 and 886.38

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Solution

The third proportional to 559.75 and 886.38 is: 1,403.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.75 : 886.38 = 886.38 : x
  2. Step 2: Convert to fraction form
    559.75/886.38 = 886.38/x
  3. Step 3: Cross multiply
    559.75x = 886.38 × 886.38
  4. Step 4: Simplify right side
    559.75x = 785,660.64
  5. Step 5: Solve for x
    x = 785,660.64/559.75
  6. Step 6: Final answer
    x = 1,403.59

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.