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Finding the Third Proportional to 273,348 and 599,337

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Solution

The third proportional to 273,348 and 599,337 is: 1,314,093.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,348 : 599,337 = 599,337 : x
  2. Step 2: Convert to fraction form
    273,348/599,337 = 599,337/x
  3. Step 3: Cross multiply
    273,348x = 599,337 × 599,337
  4. Step 4: Simplify right side
    273,348x = 359,204,839,569
  5. Step 5: Solve for x
    x = 359,204,839,569/273,348
  6. Step 6: Final answer
    x = 1,314,093.53

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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.