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Finding the Third Proportional to 383,216 and 806,132

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Solution

The third proportional to 383,216 and 806,132 is: 1,695,776.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,216 : 806,132 = 806,132 : x
  2. Step 2: Convert to fraction form
    383,216/806,132 = 806,132/x
  3. Step 3: Cross multiply
    383,216x = 806,132 × 806,132
  4. Step 4: Simplify right side
    383,216x = 649,848,801,424
  5. Step 5: Solve for x
    x = 649,848,801,424/383,216
  6. Step 6: Final answer
    x = 1,695,776.80

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.