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Finding the Third Proportional to 393,909 and 802,246

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Solution

The third proportional to 393,909 and 802,246 is: 1,633,876.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,909 : 802,246 = 802,246 : x
  2. Step 2: Convert to fraction form
    393,909/802,246 = 802,246/x
  3. Step 3: Cross multiply
    393,909x = 802,246 × 802,246
  4. Step 4: Simplify right side
    393,909x = 643,598,644,516
  5. Step 5: Solve for x
    x = 643,598,644,516/393,909
  6. Step 6: Final answer
    x = 1,633,876.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.