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Finding the Third Proportional to 399,516.75 and 858,323.25

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Solution

The third proportional to 399,516.75 and 858,323.25 is: 1,844,024.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,516.75 : 858,323.25 = 858,323.25 : x
  2. Step 2: Convert to fraction form
    399,516.75/858,323.25 = 858,323.25/x
  3. Step 3: Cross multiply
    399,516.75x = 858,323.25 × 858,323.25
  4. Step 4: Simplify right side
    399,516.75x = 736,718,801,490.56
  5. Step 5: Solve for x
    x = 736,718,801,490.56/399,516.75
  6. Step 6: Final answer
    x = 1,844,024.82

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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.