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Finding the Third Proportional to 207,269 and 442,978

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Solution

The third proportional to 207,269 and 442,978 is: 946,738.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,269 : 442,978 = 442,978 : x
  2. Step 2: Convert to fraction form
    207,269/442,978 = 442,978/x
  3. Step 3: Cross multiply
    207,269x = 442,978 × 442,978
  4. Step 4: Simplify right side
    207,269x = 196,229,508,484
  5. Step 5: Solve for x
    x = 196,229,508,484/207,269
  6. Step 6: Final answer
    x = 946,738.34

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