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Finding the Third Proportional to 271,711 and 595,909

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Solution

The third proportional to 271,711 and 595,909 is: 1,306,931.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,711 : 595,909 = 595,909 : x
  2. Step 2: Convert to fraction form
    271,711/595,909 = 595,909/x
  3. Step 3: Cross multiply
    271,711x = 595,909 × 595,909
  4. Step 4: Simplify right side
    271,711x = 355,107,536,281
  5. Step 5: Solve for x
    x = 355,107,536,281/271,711
  6. Step 6: Final answer
    x = 1,306,931.03

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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.