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Finding the Third Proportional to 262,450.50 and 541,464

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Solution

The third proportional to 262,450.50 and 541,464 is: 1,117,099.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,450.50 : 541,464 = 541,464 : x
  2. Step 2: Convert to fraction form
    262,450.50/541,464 = 541,464/x
  3. Step 3: Cross multiply
    262,450.50x = 541,464 × 541,464
  4. Step 4: Simplify right side
    262,450.50x = 293,183,263,296
  5. Step 5: Solve for x
    x = 293,183,263,296/262,450.50
  6. Step 6: Final answer
    x = 1,117,099.28

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.