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Finding the Third Proportional to 385,079 and 858,703

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Solution

The third proportional to 385,079 and 858,703 is: 1,914,856.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,079 : 858,703 = 858,703 : x
  2. Step 2: Convert to fraction form
    385,079/858,703 = 858,703/x
  3. Step 3: Cross multiply
    385,079x = 858,703 × 858,703
  4. Step 4: Simplify right side
    385,079x = 737,370,842,209
  5. Step 5: Solve for x
    x = 737,370,842,209/385,079
  6. Step 6: Final answer
    x = 1,914,856.02

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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.