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Finding the Third Proportional to 231,244 and 501,797

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Solution

The third proportional to 231,244 and 501,797 is: 1,088,894.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,244 : 501,797 = 501,797 : x
  2. Step 2: Convert to fraction form
    231,244/501,797 = 501,797/x
  3. Step 3: Cross multiply
    231,244x = 501,797 × 501,797
  4. Step 4: Simplify right side
    231,244x = 251,800,229,209
  5. Step 5: Solve for x
    x = 251,800,229,209/231,244
  6. Step 6: Final answer
    x = 1,088,894.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.