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Finding the Third Proportional to 471.19 and 519.56

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Solution

The third proportional to 471.19 and 519.56 is: 572.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.19 : 519.56 = 519.56 : x
  2. Step 2: Convert to fraction form
    471.19/519.56 = 519.56/x
  3. Step 3: Cross multiply
    471.19x = 519.56 × 519.56
  4. Step 4: Simplify right side
    471.19x = 269,945.19
  5. Step 5: Solve for x
    x = 269,945.19/471.19
  6. Step 6: Final answer
    x = 572.90

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.