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Finding the Third Proportional to 231,579 and 351,864

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Solution

The third proportional to 231,579 and 351,864 is: 534,626.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,579 : 351,864 = 351,864 : x
  2. Step 2: Convert to fraction form
    231,579/351,864 = 351,864/x
  3. Step 3: Cross multiply
    231,579x = 351,864 × 351,864
  4. Step 4: Simplify right side
    231,579x = 123,808,274,496
  5. Step 5: Solve for x
    x = 123,808,274,496/231,579
  6. Step 6: Final answer
    x = 534,626.52

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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.