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Finding the Third Proportional to 583.86 and 1,275.84

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Solution

The third proportional to 583.86 and 1,275.84 is: 2,787.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.86 : 1,275.84 = 1,275.84 : x
  2. Step 2: Convert to fraction form
    583.86/1,275.84 = 1,275.84/x
  3. Step 3: Cross multiply
    583.86x = 1,275.84 × 1,275.84
  4. Step 4: Simplify right side
    583.86x = 1,627,765.13
  5. Step 5: Solve for x
    x = 1,627,765.13/583.86
  6. Step 6: Final answer
    x = 2,787.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.