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Finding the Third Proportional to 269,537 and 571,933

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Solution

The third proportional to 269,537 and 571,933 is: 1,213,589.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,537 : 571,933 = 571,933 : x
  2. Step 2: Convert to fraction form
    269,537/571,933 = 571,933/x
  3. Step 3: Cross multiply
    269,537x = 571,933 × 571,933
  4. Step 4: Simplify right side
    269,537x = 327,107,356,489
  5. Step 5: Solve for x
    x = 327,107,356,489/269,537
  6. Step 6: Final answer
    x = 1,213,589.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.