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Finding the Third Proportional to 263,414 and 558,174

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Solution

The third proportional to 263,414 and 558,174 is: 1,182,770.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,414 : 558,174 = 558,174 : x
  2. Step 2: Convert to fraction form
    263,414/558,174 = 558,174/x
  3. Step 3: Cross multiply
    263,414x = 558,174 × 558,174
  4. Step 4: Simplify right side
    263,414x = 311,558,214,276
  5. Step 5: Solve for x
    x = 311,558,214,276/263,414
  6. Step 6: Final answer
    x = 1,182,770.14

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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.