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Finding the Third Proportional to 597.66 and 1,242.56

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Solution

The third proportional to 597.66 and 1,242.56 is: 2,583.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.66 : 1,242.56 = 1,242.56 : x
  2. Step 2: Convert to fraction form
    597.66/1,242.56 = 1,242.56/x
  3. Step 3: Cross multiply
    597.66x = 1,242.56 × 1,242.56
  4. Step 4: Simplify right side
    597.66x = 1,543,961.57
  5. Step 5: Solve for x
    x = 1,543,961.57/597.66
  6. Step 6: Final answer
    x = 2,583.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.