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Finding the Third Proportional to 404,921.25 and 937,418.63

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Solution

The third proportional to 404,921.25 and 937,418.63 is: 2,170,184.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,921.25 : 937,418.63 = 937,418.63 : x
  2. Step 2: Convert to fraction form
    404,921.25/937,418.63 = 937,418.63/x
  3. Step 3: Cross multiply
    404,921.25x = 937,418.63 × 937,418.63
  4. Step 4: Simplify right side
    404,921.25x = 878,753,678,496.89
  5. Step 5: Solve for x
    x = 878,753,678,496.89/404,921.25
  6. Step 6: Final answer
    x = 2,170,184.15

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.