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Finding the Third Proportional to 416,067 and 594,543

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Solution

The third proportional to 416,067 and 594,543 is: 849,578.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,067 : 594,543 = 594,543 : x
  2. Step 2: Convert to fraction form
    416,067/594,543 = 594,543/x
  3. Step 3: Cross multiply
    416,067x = 594,543 × 594,543
  4. Step 4: Simplify right side
    416,067x = 353,481,378,849
  5. Step 5: Solve for x
    x = 353,481,378,849/416,067
  6. Step 6: Final answer
    x = 849,578.02

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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.