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Finding the Third Proportional to 273,065 and 567,934

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Solution

The third proportional to 273,065 and 567,934 is: 1,181,217.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,065 : 567,934 = 567,934 : x
  2. Step 2: Convert to fraction form
    273,065/567,934 = 567,934/x
  3. Step 3: Cross multiply
    273,065x = 567,934 × 567,934
  4. Step 4: Simplify right side
    273,065x = 322,549,028,356
  5. Step 5: Solve for x
    x = 322,549,028,356/273,065
  6. Step 6: Final answer
    x = 1,181,217.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.