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Finding the Third Proportional to 207,275 and 442,990

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Solution

The third proportional to 207,275 and 442,990 is: 946,762.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,275 : 442,990 = 442,990 : x
  2. Step 2: Convert to fraction form
    207,275/442,990 = 442,990/x
  3. Step 3: Cross multiply
    207,275x = 442,990 × 442,990
  4. Step 4: Simplify right side
    207,275x = 196,240,140,100
  5. Step 5: Solve for x
    x = 196,240,140,100/207,275
  6. Step 6: Final answer
    x = 946,762.22

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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.