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Finding the Third Proportional to 665.75 and 1,012.38

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Solution

The third proportional to 665.75 and 1,012.38 is: 1,539.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.75 : 1,012.38 = 1,012.38 : x
  2. Step 2: Convert to fraction form
    665.75/1,012.38 = 1,012.38/x
  3. Step 3: Cross multiply
    665.75x = 1,012.38 × 1,012.38
  4. Step 4: Simplify right side
    665.75x = 1,024,903.14
  5. Step 5: Solve for x
    x = 1,024,903.14/665.75
  6. Step 6: Final answer
    x = 1,539.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.