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Finding the Third Proportional to 353,218 and 762,932

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Solution

The third proportional to 353,218 and 762,932 is: 1,647,892.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,218 : 762,932 = 762,932 : x
  2. Step 2: Convert to fraction form
    353,218/762,932 = 762,932/x
  3. Step 3: Cross multiply
    353,218x = 762,932 × 762,932
  4. Step 4: Simplify right side
    353,218x = 582,065,236,624
  5. Step 5: Solve for x
    x = 582,065,236,624/353,218
  6. Step 6: Final answer
    x = 1,647,892.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.