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Finding the Third Proportional to 251,568 and 542,520

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Solution

The third proportional to 251,568 and 542,520 is: 1,169,973.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,568 : 542,520 = 542,520 : x
  2. Step 2: Convert to fraction form
    251,568/542,520 = 542,520/x
  3. Step 3: Cross multiply
    251,568x = 542,520 × 542,520
  4. Step 4: Simplify right side
    251,568x = 294,327,950,400
  5. Step 5: Solve for x
    x = 294,327,950,400/251,568
  6. Step 6: Final answer
    x = 1,169,973.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.