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Finding the Third Proportional to 507,561,876 and 764,703,198

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Solution

The third proportional to 507,561,876 and 764,703,198 is: 1,152,117,620.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,561,876 : 764,703,198 = 764,703,198 : x
  2. Step 2: Convert to fraction form
    507,561,876/764,703,198 = 764,703,198/x
  3. Step 3: Cross multiply
    507,561,876x = 764,703,198 × 764,703,198
  4. Step 4: Simplify right side
    507,561,876x = 584,770,981,031,427,200
  5. Step 5: Solve for x
    x = 584,770,981,031,427,200/507,561,876
  6. Step 6: Final answer
    x = 1,152,117,620.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.