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Finding the Third Proportional to 395,366 and 932,862

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Solution

The third proportional to 395,366 and 932,862 is: 2,201,078.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,366 : 932,862 = 932,862 : x
  2. Step 2: Convert to fraction form
    395,366/932,862 = 932,862/x
  3. Step 3: Cross multiply
    395,366x = 932,862 × 932,862
  4. Step 4: Simplify right side
    395,366x = 870,231,511,044
  5. Step 5: Solve for x
    x = 870,231,511,044/395,366
  6. Step 6: Final answer
    x = 2,201,078.27

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.