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Finding the Third Proportional to 245,474 and 539,188

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Solution

The third proportional to 245,474 and 539,188 is: 1,184,336.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,474 : 539,188 = 539,188 : x
  2. Step 2: Convert to fraction form
    245,474/539,188 = 539,188/x
  3. Step 3: Cross multiply
    245,474x = 539,188 × 539,188
  4. Step 4: Simplify right side
    245,474x = 290,723,699,344
  5. Step 5: Solve for x
    x = 290,723,699,344/245,474
  6. Step 6: Final answer
    x = 1,184,336.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.