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Finding the Third Proportional to 262,092 and 561,576

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Solution

The third proportional to 262,092 and 561,576 is: 1,203,270.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,092 : 561,576 = 561,576 : x
  2. Step 2: Convert to fraction form
    262,092/561,576 = 561,576/x
  3. Step 3: Cross multiply
    262,092x = 561,576 × 561,576
  4. Step 4: Simplify right side
    262,092x = 315,367,603,776
  5. Step 5: Solve for x
    x = 315,367,603,776/262,092
  6. Step 6: Final answer
    x = 1,203,270.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.