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Finding the Third Proportional to 519.50 and 809.75

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Solution

The third proportional to 519.50 and 809.75 is: 1,262.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.50 : 809.75 = 809.75 : x
  2. Step 2: Convert to fraction form
    519.50/809.75 = 809.75/x
  3. Step 3: Cross multiply
    519.50x = 809.75 × 809.75
  4. Step 4: Simplify right side
    519.50x = 655,695.06
  5. Step 5: Solve for x
    x = 655,695.06/519.50
  6. Step 6: Final answer
    x = 1,262.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.