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Finding the Third Proportional to 261,634 and 567,738

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Solution

The third proportional to 261,634 and 567,738 is: 1,231,974.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,634 : 567,738 = 567,738 : x
  2. Step 2: Convert to fraction form
    261,634/567,738 = 567,738/x
  3. Step 3: Cross multiply
    261,634x = 567,738 × 567,738
  4. Step 4: Simplify right side
    261,634x = 322,326,436,644
  5. Step 5: Solve for x
    x = 322,326,436,644/261,634
  6. Step 6: Final answer
    x = 1,231,974.58

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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.