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Finding the Third Proportional to 393,809 and 858,888

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Solution

The third proportional to 393,809 and 858,888 is: 1,873,214.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,809 : 858,888 = 858,888 : x
  2. Step 2: Convert to fraction form
    393,809/858,888 = 858,888/x
  3. Step 3: Cross multiply
    393,809x = 858,888 × 858,888
  4. Step 4: Simplify right side
    393,809x = 737,688,596,544
  5. Step 5: Solve for x
    x = 737,688,596,544/393,809
  6. Step 6: Final answer
    x = 1,873,214.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.