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Finding the Third Proportional to 583,198.31 and 1,278,496.13

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Solution

The third proportional to 583,198.31 and 1,278,496.13 is: 2,802,738.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,198.31 : 1,278,496.13 = 1,278,496.13 : x
  2. Step 2: Convert to fraction form
    583,198.31/1,278,496.13 = 1,278,496.13/x
  3. Step 3: Cross multiply
    583,198.31x = 1,278,496.13 × 1,278,496.13
  4. Step 4: Simplify right side
    583,198.31x = 1,634,552,341,640.02
  5. Step 5: Solve for x
    x = 1,634,552,341,640.02/583,198.31
  6. Step 6: Final answer
    x = 2,802,738.46

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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.