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Finding the Third Proportional to 399,532 and 858,356

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Solution

The third proportional to 399,532 and 858,356 is: 1,844,095.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,532 : 858,356 = 858,356 : x
  2. Step 2: Convert to fraction form
    399,532/858,356 = 858,356/x
  3. Step 3: Cross multiply
    399,532x = 858,356 × 858,356
  4. Step 4: Simplify right side
    399,532x = 736,775,022,736
  5. Step 5: Solve for x
    x = 736,775,022,736/399,532
  6. Step 6: Final answer
    x = 1,844,095.15

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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.