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Finding the Third Proportional to 269,567 and 575,099

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Solution

The third proportional to 269,567 and 575,099 is: 1,226,926.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,567 : 575,099 = 575,099 : x
  2. Step 2: Convert to fraction form
    269,567/575,099 = 575,099/x
  3. Step 3: Cross multiply
    269,567x = 575,099 × 575,099
  4. Step 4: Simplify right side
    269,567x = 330,738,859,801
  5. Step 5: Solve for x
    x = 330,738,859,801/269,567
  6. Step 6: Final answer
    x = 1,226,926.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.