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Finding the Third Proportional to 404,328,586 and 577,794,914

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Solution

The third proportional to 404,328,586 and 577,794,914 is: 825,682,314.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,328,586 : 577,794,914 = 577,794,914 : x
  2. Step 2: Convert to fraction form
    404,328,586/577,794,914 = 577,794,914/x
  3. Step 3: Cross multiply
    404,328,586x = 577,794,914 × 577,794,914
  4. Step 4: Simplify right side
    404,328,586x = 333,846,962,644,267,392
  5. Step 5: Solve for x
    x = 333,846,962,644,267,392/404,328,586
  6. Step 6: Final answer
    x = 825,682,314.34

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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.