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Finding the Third Proportional to 262,489 and 573,092

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Solution

The third proportional to 262,489 and 573,092 is: 1,251,231.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,489 : 573,092 = 573,092 : x
  2. Step 2: Convert to fraction form
    262,489/573,092 = 573,092/x
  3. Step 3: Cross multiply
    262,489x = 573,092 × 573,092
  4. Step 4: Simplify right side
    262,489x = 328,434,440,464
  5. Step 5: Solve for x
    x = 328,434,440,464/262,489
  6. Step 6: Final answer
    x = 1,251,231.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.