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Finding the Third Proportional to 202,026 and 439,422

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Solution

The third proportional to 202,026 and 439,422 is: 955,776.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,026 : 439,422 = 439,422 : x
  2. Step 2: Convert to fraction form
    202,026/439,422 = 439,422/x
  3. Step 3: Cross multiply
    202,026x = 439,422 × 439,422
  4. Step 4: Simplify right side
    202,026x = 193,091,694,084
  5. Step 5: Solve for x
    x = 193,091,694,084/202,026
  6. Step 6: Final answer
    x = 955,776.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.