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Finding the Third Proportional to 207,263 and 442,960

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Solution

The third proportional to 207,263 and 442,960 is: 946,688.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,263 : 442,960 = 442,960 : x
  2. Step 2: Convert to fraction form
    207,263/442,960 = 442,960/x
  3. Step 3: Cross multiply
    207,263x = 442,960 × 442,960
  4. Step 4: Simplify right side
    207,263x = 196,213,561,600
  5. Step 5: Solve for x
    x = 196,213,561,600/207,263
  6. Step 6: Final answer
    x = 946,688.80

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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.