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Finding the Third Proportional to 263,338 and 558,050

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Solution

The third proportional to 263,338 and 558,050 is: 1,182,585.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,338 : 558,050 = 558,050 : x
  2. Step 2: Convert to fraction form
    263,338/558,050 = 558,050/x
  3. Step 3: Cross multiply
    263,338x = 558,050 × 558,050
  4. Step 4: Simplify right side
    263,338x = 311,419,802,500
  5. Step 5: Solve for x
    x = 311,419,802,500/263,338
  6. Step 6: Final answer
    x = 1,182,585.89

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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.