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Finding the Third Proportional to 269,166 and 579,801

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Solution

The third proportional to 269,166 and 579,801 is: 1,248,928.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,166 : 579,801 = 579,801 : x
  2. Step 2: Convert to fraction form
    269,166/579,801 = 579,801/x
  3. Step 3: Cross multiply
    269,166x = 579,801 × 579,801
  4. Step 4: Simplify right side
    269,166x = 336,169,199,601
  5. Step 5: Solve for x
    x = 336,169,199,601/269,166
  6. Step 6: Final answer
    x = 1,248,928.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.