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Finding the Third Proportional to 404,327,100 and 577,792,833

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Solution

The third proportional to 404,327,100 and 577,792,833 is: 825,679,401.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,327,100 : 577,792,833 = 577,792,833 : x
  2. Step 2: Convert to fraction form
    404,327,100/577,792,833 = 577,792,833/x
  3. Step 3: Cross multiply
    404,327,100x = 577,792,833 × 577,792,833
  4. Step 4: Simplify right side
    404,327,100x = 333,844,557,866,165,888
  5. Step 5: Solve for x
    x = 333,844,557,866,165,888/404,327,100
  6. Step 6: Final answer
    x = 825,679,401.32

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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.