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Finding the Third Proportional to 374,450 and 811,954

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Solution

The third proportional to 374,450 and 811,954 is: 1,760,633.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,450 : 811,954 = 811,954 : x
  2. Step 2: Convert to fraction form
    374,450/811,954 = 811,954/x
  3. Step 3: Cross multiply
    374,450x = 811,954 × 811,954
  4. Step 4: Simplify right side
    374,450x = 659,269,298,116
  5. Step 5: Solve for x
    x = 659,269,298,116/374,450
  6. Step 6: Final answer
    x = 1,760,633.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.