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Finding the Third Proportional to 326,107 and 706,493

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Solution

The third proportional to 326,107 and 706,493 is: 1,530,578.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,107 : 706,493 = 706,493 : x
  2. Step 2: Convert to fraction form
    326,107/706,493 = 706,493/x
  3. Step 3: Cross multiply
    326,107x = 706,493 × 706,493
  4. Step 4: Simplify right side
    326,107x = 499,132,359,049
  5. Step 5: Solve for x
    x = 499,132,359,049/326,107
  6. Step 6: Final answer
    x = 1,530,578.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.