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Finding the Third Proportional to 404,342,982 and 577,816,660

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Solution

The third proportional to 404,342,982 and 577,816,660 is: 825,715,067.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,342,982 : 577,816,660 = 577,816,660 : x
  2. Step 2: Convert to fraction form
    404,342,982/577,816,660 = 577,816,660/x
  3. Step 3: Cross multiply
    404,342,982x = 577,816,660 × 577,816,660
  4. Step 4: Simplify right side
    404,342,982x = 333,872,092,573,555,584
  5. Step 5: Solve for x
    x = 333,872,092,573,555,584/404,342,982
  6. Step 6: Final answer
    x = 825,715,067.25

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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.