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Finding the Third Proportional to 321,940 and 699,283

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Solution

The third proportional to 321,940 and 699,283 is: 1,518,906.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,940 : 699,283 = 699,283 : x
  2. Step 2: Convert to fraction form
    321,940/699,283 = 699,283/x
  3. Step 3: Cross multiply
    321,940x = 699,283 × 699,283
  4. Step 4: Simplify right side
    321,940x = 488,996,714,089
  5. Step 5: Solve for x
    x = 488,996,714,089/321,940
  6. Step 6: Final answer
    x = 1,518,906.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.