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Finding the Third Proportional to 279,904 and 597,184

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Solution

The third proportional to 279,904 and 597,184 is: 1,274,110.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,904 : 597,184 = 597,184 : x
  2. Step 2: Convert to fraction form
    279,904/597,184 = 597,184/x
  3. Step 3: Cross multiply
    279,904x = 597,184 × 597,184
  4. Step 4: Simplify right side
    279,904x = 356,628,729,856
  5. Step 5: Solve for x
    x = 356,628,729,856/279,904
  6. Step 6: Final answer
    x = 1,274,110.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.