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Finding the Third Proportional to 422,212 and 660,966

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Solution

The third proportional to 422,212 and 660,966 is: 1,034,731.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,212 : 660,966 = 660,966 : x
  2. Step 2: Convert to fraction form
    422,212/660,966 = 660,966/x
  3. Step 3: Cross multiply
    422,212x = 660,966 × 660,966
  4. Step 4: Simplify right side
    422,212x = 436,876,053,156
  5. Step 5: Solve for x
    x = 436,876,053,156/422,212
  6. Step 6: Final answer
    x = 1,034,731.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.