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Finding the Third Proportional to 283,110 and 616,172

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Solution

The third proportional to 283,110 and 616,172 is: 1,341,061.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,110 : 616,172 = 616,172 : x
  2. Step 2: Convert to fraction form
    283,110/616,172 = 616,172/x
  3. Step 3: Cross multiply
    283,110x = 616,172 × 616,172
  4. Step 4: Simplify right side
    283,110x = 379,667,933,584
  5. Step 5: Solve for x
    x = 379,667,933,584/283,110
  6. Step 6: Final answer
    x = 1,341,061.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.