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Finding the Third Proportional to 391,960.69 and 858,657.38

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Solution

The third proportional to 391,960.69 and 858,657.38 is: 1,881,036.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,960.69 : 858,657.38 = 858,657.38 : x
  2. Step 2: Convert to fraction form
    391,960.69/858,657.38 = 858,657.38/x
  3. Step 3: Cross multiply
    391,960.69x = 858,657.38 × 858,657.38
  4. Step 4: Simplify right side
    391,960.69x = 737,292,487,641.89
  5. Step 5: Solve for x
    x = 737,292,487,641.89/391,960.69
  6. Step 6: Final answer
    x = 1,881,036.83

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.