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Finding the Third Proportional to 583.31 and 1,269.15

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Solution

The third proportional to 583.31 and 1,269.15 is: 2,761.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.31 : 1,269.15 = 1,269.15 : x
  2. Step 2: Convert to fraction form
    583.31/1,269.15 = 1,269.15/x
  3. Step 3: Cross multiply
    583.31x = 1,269.15 × 1,269.15
  4. Step 4: Simplify right side
    583.31x = 1,610,729.08
  5. Step 5: Solve for x
    x = 1,610,729.08/583.31
  6. Step 6: Final answer
    x = 2,761.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.