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Finding the Third Proportional to 385,087 and 858,717.50

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Solution

The third proportional to 385,087 and 858,717.50 is: 1,914,880.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,087 : 858,717.50 = 858,717.50 : x
  2. Step 2: Convert to fraction form
    385,087/858,717.50 = 858,717.50/x
  3. Step 3: Cross multiply
    385,087x = 858,717.50 × 858,717.50
  4. Step 4: Simplify right side
    385,087x = 737,395,744,806.25
  5. Step 5: Solve for x
    x = 737,395,744,806.25/385,087
  6. Step 6: Final answer
    x = 1,914,880.91

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.