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Finding the Third Proportional to 509.91 and 575.81

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Solution

The third proportional to 509.91 and 575.81 is: 650.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.91 : 575.81 = 575.81 : x
  2. Step 2: Convert to fraction form
    509.91/575.81 = 575.81/x
  3. Step 3: Cross multiply
    509.91x = 575.81 × 575.81
  4. Step 4: Simplify right side
    509.91x = 331,560.04
  5. Step 5: Solve for x
    x = 331,560.04/509.91
  6. Step 6: Final answer
    x = 650.24

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.