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Finding the Third Proportional to 273,294 and 599,238

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Solution

The third proportional to 273,294 and 599,238 is: 1,313,919.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,294 : 599,238 = 599,238 : x
  2. Step 2: Convert to fraction form
    273,294/599,238 = 599,238/x
  3. Step 3: Cross multiply
    273,294x = 599,238 × 599,238
  4. Step 4: Simplify right side
    273,294x = 359,086,180,644
  5. Step 5: Solve for x
    x = 359,086,180,644/273,294
  6. Step 6: Final answer
    x = 1,313,919.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.