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Finding the Third Proportional to 322,146 and 699,651

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Solution

The third proportional to 322,146 and 699,651 is: 1,519,533.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,146 : 699,651 = 699,651 : x
  2. Step 2: Convert to fraction form
    322,146/699,651 = 699,651/x
  3. Step 3: Cross multiply
    322,146x = 699,651 × 699,651
  4. Step 4: Simplify right side
    322,146x = 489,511,521,801
  5. Step 5: Solve for x
    x = 489,511,521,801/322,146
  6. Step 6: Final answer
    x = 1,519,533.14

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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.