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Finding the Third Proportional to 207,629 and 320,781

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Solution

The third proportional to 207,629 and 320,781 is: 495,597.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,629 : 320,781 = 320,781 : x
  2. Step 2: Convert to fraction form
    207,629/320,781 = 320,781/x
  3. Step 3: Cross multiply
    207,629x = 320,781 × 320,781
  4. Step 4: Simplify right side
    207,629x = 102,900,449,961
  5. Step 5: Solve for x
    x = 102,900,449,961/207,629
  6. Step 6: Final answer
    x = 495,597.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.