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Finding the Third Proportional to 246,969 and 502,686

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Solution

The third proportional to 246,969 and 502,686 is: 1,023,177.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,969 : 502,686 = 502,686 : x
  2. Step 2: Convert to fraction form
    246,969/502,686 = 502,686/x
  3. Step 3: Cross multiply
    246,969x = 502,686 × 502,686
  4. Step 4: Simplify right side
    246,969x = 252,693,214,596
  5. Step 5: Solve for x
    x = 252,693,214,596/246,969
  6. Step 6: Final answer
    x = 1,023,177.87

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.