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Finding the Third Proportional to 207,267 and 442,974

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Solution

The third proportional to 207,267 and 442,974 is: 946,730.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,267 : 442,974 = 442,974 : x
  2. Step 2: Convert to fraction form
    207,267/442,974 = 442,974/x
  3. Step 3: Cross multiply
    207,267x = 442,974 × 442,974
  4. Step 4: Simplify right side
    207,267x = 196,225,964,676
  5. Step 5: Solve for x
    x = 196,225,964,676/207,267
  6. Step 6: Final answer
    x = 946,730.38

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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.