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Finding the Third Proportional to 214,574 and 324,622

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Solution

The third proportional to 214,574 and 324,622 is: 491,110.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,574 : 324,622 = 324,622 : x
  2. Step 2: Convert to fraction form
    214,574/324,622 = 324,622/x
  3. Step 3: Cross multiply
    214,574x = 324,622 × 324,622
  4. Step 4: Simplify right side
    214,574x = 105,379,442,884
  5. Step 5: Solve for x
    x = 105,379,442,884/214,574
  6. Step 6: Final answer
    x = 491,110.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.