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Finding the Third Proportional to 404,328,588 and 577,794,917

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Solution

The third proportional to 404,328,588 and 577,794,917 is: 825,682,318.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,328,588 : 577,794,917 = 577,794,917 : x
  2. Step 2: Convert to fraction form
    404,328,588/577,794,917 = 577,794,917/x
  3. Step 3: Cross multiply
    404,328,588x = 577,794,917 × 577,794,917
  4. Step 4: Simplify right side
    404,328,588x = 333,846,966,111,036,864
  5. Step 5: Solve for x
    x = 333,846,966,111,036,864/404,328,588
  6. Step 6: Final answer
    x = 825,682,318.83

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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.