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Finding the Third Proportional to 399,581 and 850,016

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Solution

The third proportional to 399,581 and 850,016 is: 1,808,212.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,581 : 850,016 = 850,016 : x
  2. Step 2: Convert to fraction form
    399,581/850,016 = 850,016/x
  3. Step 3: Cross multiply
    399,581x = 850,016 × 850,016
  4. Step 4: Simplify right side
    399,581x = 722,527,200,256
  5. Step 5: Solve for x
    x = 722,527,200,256/399,581
  6. Step 6: Final answer
    x = 1,808,212.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.