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Finding the Third Proportional to 399,736 and 851,260

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Solution

The third proportional to 399,736 and 851,260 is: 1,812,805.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,736 : 851,260 = 851,260 : x
  2. Step 2: Convert to fraction form
    399,736/851,260 = 851,260/x
  3. Step 3: Cross multiply
    399,736x = 851,260 × 851,260
  4. Step 4: Simplify right side
    399,736x = 724,643,587,600
  5. Step 5: Solve for x
    x = 724,643,587,600/399,736
  6. Step 6: Final answer
    x = 1,812,805.42

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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.