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Finding the Third Proportional to 277,811 and 420,589

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Solution

The third proportional to 277,811 and 420,589 is: 636,746.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,811 : 420,589 = 420,589 : x
  2. Step 2: Convert to fraction form
    277,811/420,589 = 420,589/x
  3. Step 3: Cross multiply
    277,811x = 420,589 × 420,589
  4. Step 4: Simplify right side
    277,811x = 176,895,106,921
  5. Step 5: Solve for x
    x = 176,895,106,921/277,811
  6. Step 6: Final answer
    x = 636,746.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.