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Finding the Third Proportional to 230,846 and 360,849

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Solution

The third proportional to 230,846 and 360,849 is: 564,064.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,846 : 360,849 = 360,849 : x
  2. Step 2: Convert to fraction form
    230,846/360,849 = 360,849/x
  3. Step 3: Cross multiply
    230,846x = 360,849 × 360,849
  4. Step 4: Simplify right side
    230,846x = 130,212,000,801
  5. Step 5: Solve for x
    x = 130,212,000,801/230,846
  6. Step 6: Final answer
    x = 564,064.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.