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Finding the Third Proportional to 409,269 and 964,764

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Solution

The third proportional to 409,269 and 964,764 is: 2,274,224.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,269 : 964,764 = 964,764 : x
  2. Step 2: Convert to fraction form
    409,269/964,764 = 964,764/x
  3. Step 3: Cross multiply
    409,269x = 964,764 × 964,764
  4. Step 4: Simplify right side
    409,269x = 930,769,575,696
  5. Step 5: Solve for x
    x = 930,769,575,696/409,269
  6. Step 6: Final answer
    x = 2,274,224.47

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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.