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Finding the Third Proportional to 395,854 and 862,750

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Solution

The third proportional to 395,854 and 862,750 is: 1,880,333.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,854 : 862,750 = 862,750 : x
  2. Step 2: Convert to fraction form
    395,854/862,750 = 862,750/x
  3. Step 3: Cross multiply
    395,854x = 862,750 × 862,750
  4. Step 4: Simplify right side
    395,854x = 744,337,562,500
  5. Step 5: Solve for x
    x = 744,337,562,500/395,854
  6. Step 6: Final answer
    x = 1,880,333.56

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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.