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Finding the Third Proportional to 583.17 and 1,275.47

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Solution

The third proportional to 583.17 and 1,275.47 is: 2,789.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.17 : 1,275.47 = 1,275.47 : x
  2. Step 2: Convert to fraction form
    583.17/1,275.47 = 1,275.47/x
  3. Step 3: Cross multiply
    583.17x = 1,275.47 × 1,275.47
  4. Step 4: Simplify right side
    583.17x = 1,626,820.53
  5. Step 5: Solve for x
    x = 1,626,820.53/583.17
  6. Step 6: Final answer
    x = 2,789.61

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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.