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Finding the Third Proportional to 228,790 and 347,849

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Solution

The third proportional to 228,790 and 347,849 is: 528,864.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,790 : 347,849 = 347,849 : x
  2. Step 2: Convert to fraction form
    228,790/347,849 = 347,849/x
  3. Step 3: Cross multiply
    228,790x = 347,849 × 347,849
  4. Step 4: Simplify right side
    228,790x = 120,998,926,801
  5. Step 5: Solve for x
    x = 120,998,926,801/228,790
  6. Step 6: Final answer
    x = 528,864.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.