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Finding the Third Proportional to 347,229 and 760,932

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Solution

The third proportional to 347,229 and 760,932 is: 1,667,537.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,229 : 760,932 = 760,932 : x
  2. Step 2: Convert to fraction form
    347,229/760,932 = 760,932/x
  3. Step 3: Cross multiply
    347,229x = 760,932 × 760,932
  4. Step 4: Simplify right side
    347,229x = 579,017,508,624
  5. Step 5: Solve for x
    x = 579,017,508,624/347,229
  6. Step 6: Final answer
    x = 1,667,537.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.