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Finding the Third Proportional to 509.91 and 1,240.31

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Solution

The third proportional to 509.91 and 1,240.31 is: 3,016.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.91 : 1,240.31 = 1,240.31 : x
  2. Step 2: Convert to fraction form
    509.91/1,240.31 = 1,240.31/x
  3. Step 3: Cross multiply
    509.91x = 1,240.31 × 1,240.31
  4. Step 4: Simplify right side
    509.91x = 1,538,375.10
  5. Step 5: Solve for x
    x = 1,538,375.10/509.91
  6. Step 6: Final answer
    x = 3,016.98

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.