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Finding the Third Proportional to 246,673 and 527,042

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Solution

The third proportional to 246,673 and 527,042 is: 1,126,078.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,673 : 527,042 = 527,042 : x
  2. Step 2: Convert to fraction form
    246,673/527,042 = 527,042/x
  3. Step 3: Cross multiply
    246,673x = 527,042 × 527,042
  4. Step 4: Simplify right side
    246,673x = 277,773,269,764
  5. Step 5: Solve for x
    x = 277,773,269,764/246,673
  6. Step 6: Final answer
    x = 1,126,078.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.