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Finding the Third Proportional to 262,777 and 576,424

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Solution

The third proportional to 262,777 and 576,424 is: 1,264,435.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,777 : 576,424 = 576,424 : x
  2. Step 2: Convert to fraction form
    262,777/576,424 = 576,424/x
  3. Step 3: Cross multiply
    262,777x = 576,424 × 576,424
  4. Step 4: Simplify right side
    262,777x = 332,264,627,776
  5. Step 5: Solve for x
    x = 332,264,627,776/262,777
  6. Step 6: Final answer
    x = 1,264,435.73

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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.