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Finding the Third Proportional to 273,126 and 568,050

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Solution

The third proportional to 273,126 and 568,050 is: 1,181,435.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,126 : 568,050 = 568,050 : x
  2. Step 2: Convert to fraction form
    273,126/568,050 = 568,050/x
  3. Step 3: Cross multiply
    273,126x = 568,050 × 568,050
  4. Step 4: Simplify right side
    273,126x = 322,680,802,500
  5. Step 5: Solve for x
    x = 322,680,802,500/273,126
  6. Step 6: Final answer
    x = 1,181,435.68

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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.