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Finding the Third Proportional to 276,666 and 606,324

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Solution

The third proportional to 276,666 and 606,324 is: 1,328,781.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,666 : 606,324 = 606,324 : x
  2. Step 2: Convert to fraction form
    276,666/606,324 = 606,324/x
  3. Step 3: Cross multiply
    276,666x = 606,324 × 606,324
  4. Step 4: Simplify right side
    276,666x = 367,628,792,976
  5. Step 5: Solve for x
    x = 367,628,792,976/276,666
  6. Step 6: Final answer
    x = 1,328,781.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.