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Finding the Third Proportional to 398,385 and 858,978

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Solution

The third proportional to 398,385 and 858,978 is: 1,852,085.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,385 : 858,978 = 858,978 : x
  2. Step 2: Convert to fraction form
    398,385/858,978 = 858,978/x
  3. Step 3: Cross multiply
    398,385x = 858,978 × 858,978
  4. Step 4: Simplify right side
    398,385x = 737,843,204,484
  5. Step 5: Solve for x
    x = 737,843,204,484/398,385
  6. Step 6: Final answer
    x = 1,852,085.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.