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Finding the Third Proportional to 407,676 and 959,236

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Solution

The third proportional to 407,676 and 959,236 is: 2,257,022.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,676 : 959,236 = 959,236 : x
  2. Step 2: Convert to fraction form
    407,676/959,236 = 959,236/x
  3. Step 3: Cross multiply
    407,676x = 959,236 × 959,236
  4. Step 4: Simplify right side
    407,676x = 920,133,703,696
  5. Step 5: Solve for x
    x = 920,133,703,696/407,676
  6. Step 6: Final answer
    x = 2,257,022.01

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.