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Finding the Third Proportional to 404,328,285 and 577,794,475

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Solution

The third proportional to 404,328,285 and 577,794,475 is: 825,681,674.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,328,285 : 577,794,475 = 577,794,475 : x
  2. Step 2: Convert to fraction form
    404,328,285/577,794,475 = 577,794,475/x
  3. Step 3: Cross multiply
    404,328,285x = 577,794,475 × 577,794,475
  4. Step 4: Simplify right side
    404,328,285x = 333,846,455,340,525,632
  5. Step 5: Solve for x
    x = 333,846,455,340,525,632/404,328,285
  6. Step 6: Final answer
    x = 825,681,674.34

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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.