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Finding the Third Proportional to 246,797 and 372,017

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Solution

The third proportional to 246,797 and 372,017 is: 560,771.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,797 : 372,017 = 372,017 : x
  2. Step 2: Convert to fraction form
    246,797/372,017 = 372,017/x
  3. Step 3: Cross multiply
    246,797x = 372,017 × 372,017
  4. Step 4: Simplify right side
    246,797x = 138,396,648,289
  5. Step 5: Solve for x
    x = 138,396,648,289/246,797
  6. Step 6: Final answer
    x = 560,771.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.