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Finding the Third Proportional to 271,708 and 595,903

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Solution

The third proportional to 271,708 and 595,903 is: 1,306,919.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,708 : 595,903 = 595,903 : x
  2. Step 2: Convert to fraction form
    271,708/595,903 = 595,903/x
  3. Step 3: Cross multiply
    271,708x = 595,903 × 595,903
  4. Step 4: Simplify right side
    271,708x = 355,100,385,409
  5. Step 5: Solve for x
    x = 355,100,385,409/271,708
  6. Step 6: Final answer
    x = 1,306,919.14

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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.