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Finding the Third Proportional to 207,265 and 442,970

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Solution

The third proportional to 207,265 and 442,970 is: 946,722.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,265 : 442,970 = 442,970 : x
  2. Step 2: Convert to fraction form
    207,265/442,970 = 442,970/x
  3. Step 3: Cross multiply
    207,265x = 442,970 × 442,970
  4. Step 4: Simplify right side
    207,265x = 196,222,420,900
  5. Step 5: Solve for x
    x = 196,222,420,900/207,265
  6. Step 6: Final answer
    x = 946,722.41

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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.