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Finding the Third Proportional to 321,991 and 699,304

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Solution

The third proportional to 321,991 and 699,304 is: 1,518,757.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,991 : 699,304 = 699,304 : x
  2. Step 2: Convert to fraction form
    321,991/699,304 = 699,304/x
  3. Step 3: Cross multiply
    321,991x = 699,304 × 699,304
  4. Step 4: Simplify right side
    321,991x = 489,026,084,416
  5. Step 5: Solve for x
    x = 489,026,084,416/321,991
  6. Step 6: Final answer
    x = 1,518,757.00

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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.