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Finding the Third Proportional to 404,327,092.50 and 577,792,824.75

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Solution

The third proportional to 404,327,092.50 and 577,792,824.75 is: 825,679,393.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,327,092.50 : 577,792,824.75 = 577,792,824.75 : x
  2. Step 2: Convert to fraction form
    404,327,092.50/577,792,824.75 = 577,792,824.75/x
  3. Step 3: Cross multiply
    404,327,092.50x = 577,792,824.75 × 577,792,824.75
  4. Step 4: Simplify right side
    404,327,092.50x = 333,844,548,332,584,192
  5. Step 5: Solve for x
    x = 333,844,548,332,584,192/404,327,092.50
  6. Step 6: Final answer
    x = 825,679,393.06

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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.