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Finding the Third Proportional to 399,517.50 and 858,327

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Solution

The third proportional to 399,517.50 and 858,327 is: 1,844,037.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,517.50 : 858,327 = 858,327 : x
  2. Step 2: Convert to fraction form
    399,517.50/858,327 = 858,327/x
  3. Step 3: Cross multiply
    399,517.50x = 858,327 × 858,327
  4. Step 4: Simplify right side
    399,517.50x = 736,725,238,929
  5. Step 5: Solve for x
    x = 736,725,238,929/399,517.50
  6. Step 6: Final answer
    x = 1,844,037.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.