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Finding the Third Proportional to 269,522 and 421,539

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Solution

The third proportional to 269,522 and 421,539 is: 659,297.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,522 : 421,539 = 421,539 : x
  2. Step 2: Convert to fraction form
    269,522/421,539 = 421,539/x
  3. Step 3: Cross multiply
    269,522x = 421,539 × 421,539
  4. Step 4: Simplify right side
    269,522x = 177,695,128,521
  5. Step 5: Solve for x
    x = 177,695,128,521/269,522
  6. Step 6: Final answer
    x = 659,297.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.