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Finding the Third Proportional to 207,257 and 442,950

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Solution

The third proportional to 207,257 and 442,950 is: 946,673.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,257 : 442,950 = 442,950 : x
  2. Step 2: Convert to fraction form
    207,257/442,950 = 442,950/x
  3. Step 3: Cross multiply
    207,257x = 442,950 × 442,950
  4. Step 4: Simplify right side
    207,257x = 196,204,702,500
  5. Step 5: Solve for x
    x = 196,204,702,500/207,257
  6. Step 6: Final answer
    x = 946,673.47

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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.