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Finding the Third Proportional to 262,777 and 400,727

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Solution

The third proportional to 262,777 and 400,727 is: 611,096.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,777 : 400,727 = 400,727 : x
  2. Step 2: Convert to fraction form
    262,777/400,727 = 400,727/x
  3. Step 3: Cross multiply
    262,777x = 400,727 × 400,727
  4. Step 4: Simplify right side
    262,777x = 160,582,128,529
  5. Step 5: Solve for x
    x = 160,582,128,529/262,777
  6. Step 6: Final answer
    x = 611,096.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.