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Finding the Third Proportional to 385,082 and 858,708

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Solution

The third proportional to 385,082 and 858,708 is: 1,914,863.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,082 : 858,708 = 858,708 : x
  2. Step 2: Convert to fraction form
    385,082/858,708 = 858,708/x
  3. Step 3: Cross multiply
    385,082x = 858,708 × 858,708
  4. Step 4: Simplify right side
    385,082x = 737,379,429,264
  5. Step 5: Solve for x
    x = 737,379,429,264/385,082
  6. Step 6: Final answer
    x = 1,914,863.40

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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.