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Finding the Third Proportional to 202,422 and 432,867

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Solution

The third proportional to 202,422 and 432,867 is: 925,659.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,422 : 432,867 = 432,867 : x
  2. Step 2: Convert to fraction form
    202,422/432,867 = 432,867/x
  3. Step 3: Cross multiply
    202,422x = 432,867 × 432,867
  4. Step 4: Simplify right side
    202,422x = 187,373,839,689
  5. Step 5: Solve for x
    x = 187,373,839,689/202,422
  6. Step 6: Final answer
    x = 925,659.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.