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Finding the Third Proportional to 418,425.75 and 858,903.75

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Solution

The third proportional to 418,425.75 and 858,903.75 is: 1,763,074.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,425.75 : 858,903.75 = 858,903.75 : x
  2. Step 2: Convert to fraction form
    418,425.75/858,903.75 = 858,903.75/x
  3. Step 3: Cross multiply
    418,425.75x = 858,903.75 × 858,903.75
  4. Step 4: Simplify right side
    418,425.75x = 737,715,651,764.06
  5. Step 5: Solve for x
    x = 737,715,651,764.06/418,425.75
  6. Step 6: Final answer
    x = 1,763,074.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.