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Finding the Third Proportional to 404,328,404 and 577,794,657

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Solution

The third proportional to 404,328,404 and 577,794,657 is: 825,681,951.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,328,404 : 577,794,657 = 577,794,657 : x
  2. Step 2: Convert to fraction form
    404,328,404/577,794,657 = 577,794,657/x
  3. Step 3: Cross multiply
    404,328,404x = 577,794,657 × 577,794,657
  4. Step 4: Simplify right side
    404,328,404x = 333,846,665,657,747,648
  5. Step 5: Solve for x
    x = 333,846,665,657,747,648/404,328,404
  6. Step 6: Final answer
    x = 825,681,951.49

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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.