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Finding the Third Proportional to 385,176 and 858,867

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Solution

The third proportional to 385,176 and 858,867 is: 1,915,105.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,176 : 858,867 = 858,867 : x
  2. Step 2: Convert to fraction form
    385,176/858,867 = 858,867/x
  3. Step 3: Cross multiply
    385,176x = 858,867 × 858,867
  4. Step 4: Simplify right side
    385,176x = 737,652,523,689
  5. Step 5: Solve for x
    x = 737,652,523,689/385,176
  6. Step 6: Final answer
    x = 1,915,105.10

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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.