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Finding the Third Proportional to 207,446 and 320,383

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Solution

The third proportional to 207,446 and 320,383 is: 494,804.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,446 : 320,383 = 320,383 : x
  2. Step 2: Convert to fraction form
    207,446/320,383 = 320,383/x
  3. Step 3: Cross multiply
    207,446x = 320,383 × 320,383
  4. Step 4: Simplify right side
    207,446x = 102,645,266,689
  5. Step 5: Solve for x
    x = 102,645,266,689/207,446
  6. Step 6: Final answer
    x = 494,804.75

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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.