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Finding the Third Proportional to 207,262 and 442,958

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Solution

The third proportional to 207,262 and 442,958 is: 946,684.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,262 : 442,958 = 442,958 : x
  2. Step 2: Convert to fraction form
    207,262/442,958 = 442,958/x
  3. Step 3: Cross multiply
    207,262x = 442,958 × 442,958
  4. Step 4: Simplify right side
    207,262x = 196,211,789,764
  5. Step 5: Solve for x
    x = 196,211,789,764/207,262
  6. Step 6: Final answer
    x = 946,684.82

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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.