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Finding the Third Proportional to 409,526,448 and 579,467,367

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Solution

The third proportional to 409,526,448 and 579,467,367 is: 819,928,556.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,526,448 : 579,467,367 = 579,467,367 : x
  2. Step 2: Convert to fraction form
    409,526,448/579,467,367 = 579,467,367/x
  3. Step 3: Cross multiply
    409,526,448x = 579,467,367 × 579,467,367
  4. Step 4: Simplify right side
    409,526,448x = 335,782,429,417,912,704
  5. Step 5: Solve for x
    x = 335,782,429,417,912,704/409,526,448
  6. Step 6: Final answer
    x = 819,928,556.65

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.