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Finding the Third Proportional to 391,954.50 and 858,644.25

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Solution

The third proportional to 391,954.50 and 858,644.25 is: 1,881,009.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,954.50 : 858,644.25 = 858,644.25 : x
  2. Step 2: Convert to fraction form
    391,954.50/858,644.25 = 858,644.25/x
  3. Step 3: Cross multiply
    391,954.50x = 858,644.25 × 858,644.25
  4. Step 4: Simplify right side
    391,954.50x = 737,269,948,058.06
  5. Step 5: Solve for x
    x = 737,269,948,058.06/391,954.50
  6. Step 6: Final answer
    x = 1,881,009.02

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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.