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Finding the Third Proportional to 391,963.50 and 858,664.50

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Solution

The third proportional to 391,963.50 and 858,664.50 is: 1,881,054.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,963.50 : 858,664.50 = 858,664.50 : x
  2. Step 2: Convert to fraction form
    391,963.50/858,664.50 = 858,664.50/x
  3. Step 3: Cross multiply
    391,963.50x = 858,664.50 × 858,664.50
  4. Step 4: Simplify right side
    391,963.50x = 737,304,723,560.25
  5. Step 5: Solve for x
    x = 737,304,723,560.25/391,963.50
  6. Step 6: Final answer
    x = 1,881,054.55

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Why These Related Problems?

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