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Finding the Third Proportional to 461,581.50 and 959,856

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Solution

The third proportional to 461,581.50 and 959,856 is: 1,996,014.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,581.50 : 959,856 = 959,856 : x
  2. Step 2: Convert to fraction form
    461,581.50/959,856 = 959,856/x
  3. Step 3: Cross multiply
    461,581.50x = 959,856 × 959,856
  4. Step 4: Simplify right side
    461,581.50x = 921,323,540,736
  5. Step 5: Solve for x
    x = 921,323,540,736/461,581.50
  6. Step 6: Final answer
    x = 1,996,014.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.