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Finding the Third Proportional to 385,095 and 858,735

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Solution

The third proportional to 385,095 and 858,735 is: 1,914,919.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,095 : 858,735 = 858,735 : x
  2. Step 2: Convert to fraction form
    385,095/858,735 = 858,735/x
  3. Step 3: Cross multiply
    385,095x = 858,735 × 858,735
  4. Step 4: Simplify right side
    385,095x = 737,425,800,225
  5. Step 5: Solve for x
    x = 737,425,800,225/385,095
  6. Step 6: Final answer
    x = 1,914,919.18

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Why These Related Problems?

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