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Finding the Third Proportional to 341,711 and 520,995

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Solution

The third proportional to 341,711 and 520,995 is: 794,343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,711 : 520,995 = 520,995 : x
  2. Step 2: Convert to fraction form
    341,711/520,995 = 520,995/x
  3. Step 3: Cross multiply
    341,711x = 520,995 × 520,995
  4. Step 4: Simplify right side
    341,711x = 271,435,790,025
  5. Step 5: Solve for x
    x = 271,435,790,025/341,711
  6. Step 6: Final answer
    x = 794,343.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.