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Finding the Third Proportional to 272,739.38 and 595,047.38

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Solution

The third proportional to 272,739.38 and 595,047.38 is: 1,298,240.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,739.38 : 595,047.38 = 595,047.38 : x
  2. Step 2: Convert to fraction form
    272,739.38/595,047.38 = 595,047.38/x
  3. Step 3: Cross multiply
    272,739.38x = 595,047.38 × 595,047.38
  4. Step 4: Simplify right side
    272,739.38x = 354,081,378,494.39
  5. Step 5: Solve for x
    x = 354,081,378,494.39/272,739.38
  6. Step 6: Final answer
    x = 1,298,240.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.