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Finding the Third Proportional to 395,832 and 862,708

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Solution

The third proportional to 395,832 and 862,708 is: 1,880,254.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,832 : 862,708 = 862,708 : x
  2. Step 2: Convert to fraction form
    395,832/862,708 = 862,708/x
  3. Step 3: Cross multiply
    395,832x = 862,708 × 862,708
  4. Step 4: Simplify right side
    395,832x = 744,265,093,264
  5. Step 5: Solve for x
    x = 744,265,093,264/395,832
  6. Step 6: Final answer
    x = 1,880,254.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.