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Finding the Third Proportional to 328,238 and 706,690

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Solution

The third proportional to 328,238 and 706,690 is: 1,521,489.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,238 : 706,690 = 706,690 : x
  2. Step 2: Convert to fraction form
    328,238/706,690 = 706,690/x
  3. Step 3: Cross multiply
    328,238x = 706,690 × 706,690
  4. Step 4: Simplify right side
    328,238x = 499,410,756,100
  5. Step 5: Solve for x
    x = 499,410,756,100/328,238
  6. Step 6: Final answer
    x = 1,521,489.76

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.