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Finding the Third Proportional to 447,934.50 and 937,361.25

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Solution

The third proportional to 447,934.50 and 937,361.25 is: 1,961,550.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,934.50 : 937,361.25 = 937,361.25 : x
  2. Step 2: Convert to fraction form
    447,934.50/937,361.25 = 937,361.25/x
  3. Step 3: Cross multiply
    447,934.50x = 937,361.25 × 937,361.25
  4. Step 4: Simplify right side
    447,934.50x = 878,646,113,001.56
  5. Step 5: Solve for x
    x = 878,646,113,001.56/447,934.50
  6. Step 6: Final answer
    x = 1,961,550.43

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.