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Finding the Third Proportional to 273,532 and 568,808

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Solution

The third proportional to 273,532 and 568,808 is: 1,182,832.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,532 : 568,808 = 568,808 : x
  2. Step 2: Convert to fraction form
    273,532/568,808 = 568,808/x
  3. Step 3: Cross multiply
    273,532x = 568,808 × 568,808
  4. Step 4: Simplify right side
    273,532x = 323,542,540,864
  5. Step 5: Solve for x
    x = 323,542,540,864/273,532
  6. Step 6: Final answer
    x = 1,182,832.51

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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.