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Finding the Third Proportional to 263,418 and 558,184

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Solution

The third proportional to 263,418 and 558,184 is: 1,182,794.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,418 : 558,184 = 558,184 : x
  2. Step 2: Convert to fraction form
    263,418/558,184 = 558,184/x
  3. Step 3: Cross multiply
    263,418x = 558,184 × 558,184
  4. Step 4: Simplify right side
    263,418x = 311,569,377,856
  5. Step 5: Solve for x
    x = 311,569,377,856/263,418
  6. Step 6: Final answer
    x = 1,182,794.56

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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.