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Finding the Third Proportional to 327,965,800 and 502,910,392

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Solution

The third proportional to 327,965,800 and 502,910,392 is: 771,174,501.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,965,800 : 502,910,392 = 502,910,392 : x
  2. Step 2: Convert to fraction form
    327,965,800/502,910,392 = 502,910,392/x
  3. Step 3: Cross multiply
    327,965,800x = 502,910,392 × 502,910,392
  4. Step 4: Simplify right side
    327,965,800x = 252,918,862,381,593,664
  5. Step 5: Solve for x
    x = 252,918,862,381,593,664/327,965,800
  6. Step 6: Final answer
    x = 771,174,501.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.