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Finding the Third Proportional to 561,231 and 855,856

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Solution

The third proportional to 561,231 and 855,856 is: 1,305,147.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,231 : 855,856 = 855,856 : x
  2. Step 2: Convert to fraction form
    561,231/855,856 = 855,856/x
  3. Step 3: Cross multiply
    561,231x = 855,856 × 855,856
  4. Step 4: Simplify right side
    561,231x = 732,489,492,736
  5. Step 5: Solve for x
    x = 732,489,492,736/561,231
  6. Step 6: Final answer
    x = 1,305,147.96

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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.