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Finding the Third Proportional to 511.50 and 574.13

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Solution

The third proportional to 511.50 and 574.13 is: 644.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.50 : 574.13 = 574.13 : x
  2. Step 2: Convert to fraction form
    511.50/574.13 = 574.13/x
  3. Step 3: Cross multiply
    511.50x = 574.13 × 574.13
  4. Step 4: Simplify right side
    511.50x = 329,619.52
  5. Step 5: Solve for x
    x = 329,619.52/511.50
  6. Step 6: Final answer
    x = 644.42

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.