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Finding the Third Proportional to 331,041.94 and 468,553.57

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Solution

The third proportional to 331,041.94 and 468,553.57 is: 663,186.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,041.94 : 468,553.57 = 468,553.57 : x
  2. Step 2: Convert to fraction form
    331,041.94/468,553.57 = 468,553.57/x
  3. Step 3: Cross multiply
    331,041.94x = 468,553.57 × 468,553.57
  4. Step 4: Simplify right side
    331,041.94x = 219,542,448,252.59
  5. Step 5: Solve for x
    x = 219,542,448,252.59/331,041.94
  6. Step 6: Final answer
    x = 663,186.21

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.