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Finding the Third Proportional to 404,328,438 and 577,794,704

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Solution

The third proportional to 404,328,438 and 577,794,704 is: 825,682,016.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,328,438 : 577,794,704 = 577,794,704 : x
  2. Step 2: Convert to fraction form
    404,328,438/577,794,704 = 577,794,704/x
  3. Step 3: Cross multiply
    404,328,438x = 577,794,704 × 577,794,704
  4. Step 4: Simplify right side
    404,328,438x = 333,846,719,970,447,616
  5. Step 5: Solve for x
    x = 333,846,719,970,447,616/404,328,438
  6. Step 6: Final answer
    x = 825,682,016.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.