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Finding the Third Proportional to 404,327,963.25 and 577,794,016.13

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Solution

The third proportional to 404,327,963.25 and 577,794,016.13 is: 825,681,019.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,327,963.25 : 577,794,016.13 = 577,794,016.13 : x
  2. Step 2: Convert to fraction form
    404,327,963.25/577,794,016.13 = 577,794,016.13/x
  3. Step 3: Cross multiply
    404,327,963.25x = 577,794,016.13 × 577,794,016.13
  4. Step 4: Simplify right side
    404,327,963.25x = 333,845,925,069,856,768
  5. Step 5: Solve for x
    x = 333,845,925,069,856,768/404,327,963.25
  6. Step 6: Final answer
    x = 825,681,019.90

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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.