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Finding the Third Proportional to 514 and 888

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Solution

The third proportional to 514 and 888 is: 1,534.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    514 : 888 = 888 : x
  2. Step 2: Convert to fraction form
    514/888 = 888/x
  3. Step 3: Cross multiply
    514x = 888 × 888
  4. Step 4: Simplify right side
    514x = 788,544
  5. Step 5: Solve for x
    x = 788,544/514
  6. Step 6: Final answer
    x = 1,534.13

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.