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Finding the Third Proportional to 259,904 and 558,486

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Solution

The third proportional to 259,904 and 558,486 is: 1,200,083.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,904 : 558,486 = 558,486 : x
  2. Step 2: Convert to fraction form
    259,904/558,486 = 558,486/x
  3. Step 3: Cross multiply
    259,904x = 558,486 × 558,486
  4. Step 4: Simplify right side
    259,904x = 311,906,612,196
  5. Step 5: Solve for x
    x = 311,906,612,196/259,904
  6. Step 6: Final answer
    x = 1,200,083.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.