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Finding the Third Proportional to 270,739.13 and 548,049.38

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Solution

The third proportional to 270,739.13 and 548,049.38 is: 1,109,400.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,739.13 : 548,049.38 = 548,049.38 : x
  2. Step 2: Convert to fraction form
    270,739.13/548,049.38 = 548,049.38/x
  3. Step 3: Cross multiply
    270,739.13x = 548,049.38 × 548,049.38
  4. Step 4: Simplify right side
    270,739.13x = 300,358,117,437.89
  5. Step 5: Solve for x
    x = 300,358,117,437.89/270,739.13
  6. Step 6: Final answer
    x = 1,109,400.49

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.