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Finding the Third Proportional to 409,228 and 964,655

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Solution

The third proportional to 409,228 and 964,655 is: 2,273,938.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,228 : 964,655 = 964,655 : x
  2. Step 2: Convert to fraction form
    409,228/964,655 = 964,655/x
  3. Step 3: Cross multiply
    409,228x = 964,655 × 964,655
  4. Step 4: Simplify right side
    409,228x = 930,559,269,025
  5. Step 5: Solve for x
    x = 930,559,269,025/409,228
  6. Step 6: Final answer
    x = 2,273,938.41

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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.