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Finding the Third Proportional to 207,540 and 404,712

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Solution

The third proportional to 207,540 and 404,712 is: 789,205.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,540 : 404,712 = 404,712 : x
  2. Step 2: Convert to fraction form
    207,540/404,712 = 404,712/x
  3. Step 3: Cross multiply
    207,540x = 404,712 × 404,712
  4. Step 4: Simplify right side
    207,540x = 163,791,802,944
  5. Step 5: Solve for x
    x = 163,791,802,944/207,540
  6. Step 6: Final answer
    x = 789,205.95

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.