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Finding the Third Proportional to 409,230 and 964,660

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Solution

The third proportional to 409,230 and 964,660 is: 2,273,950.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,230 : 964,660 = 964,660 : x
  2. Step 2: Convert to fraction form
    409,230/964,660 = 964,660/x
  3. Step 3: Cross multiply
    409,230x = 964,660 × 964,660
  4. Step 4: Simplify right side
    409,230x = 930,568,915,600
  5. Step 5: Solve for x
    x = 930,568,915,600/409,230
  6. Step 6: Final answer
    x = 2,273,950.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.