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Finding the Third Proportional to 290,832.75 and 615,198

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Solution

The third proportional to 290,832.75 and 615,198 is: 1,301,327.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,832.75 : 615,198 = 615,198 : x
  2. Step 2: Convert to fraction form
    290,832.75/615,198 = 615,198/x
  3. Step 3: Cross multiply
    290,832.75x = 615,198 × 615,198
  4. Step 4: Simplify right side
    290,832.75x = 378,468,579,204
  5. Step 5: Solve for x
    x = 378,468,579,204/290,832.75
  6. Step 6: Final answer
    x = 1,301,327.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.