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Finding the Third Proportional to 231,579 and 347,922

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Solution

The third proportional to 231,579 and 347,922 is: 522,714.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,579 : 347,922 = 347,922 : x
  2. Step 2: Convert to fraction form
    231,579/347,922 = 347,922/x
  3. Step 3: Cross multiply
    231,579x = 347,922 × 347,922
  4. Step 4: Simplify right side
    231,579x = 121,049,718,084
  5. Step 5: Solve for x
    x = 121,049,718,084/231,579
  6. Step 6: Final answer
    x = 522,714.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.