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Finding the Third Proportional to 559.50 and 927.25

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Solution

The third proportional to 559.50 and 927.25 is: 1,536.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.50 : 927.25 = 927.25 : x
  2. Step 2: Convert to fraction form
    559.50/927.25 = 927.25/x
  3. Step 3: Cross multiply
    559.50x = 927.25 × 927.25
  4. Step 4: Simplify right side
    559.50x = 859,792.56
  5. Step 5: Solve for x
    x = 859,792.56/559.50
  6. Step 6: Final answer
    x = 1,536.72

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.