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Finding the Third Proportional to 487.50 and 527.25

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Solution

The third proportional to 487.50 and 527.25 is: 570.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.50 : 527.25 = 527.25 : x
  2. Step 2: Convert to fraction form
    487.50/527.25 = 527.25/x
  3. Step 3: Cross multiply
    487.50x = 527.25 × 527.25
  4. Step 4: Simplify right side
    487.50x = 277,992.56
  5. Step 5: Solve for x
    x = 277,992.56/487.50
  6. Step 6: Final answer
    x = 570.24

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.