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Finding the Third Proportional to 253,884 and 542,766

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Solution

The third proportional to 253,884 and 542,766 is: 1,160,352.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,884 : 542,766 = 542,766 : x
  2. Step 2: Convert to fraction form
    253,884/542,766 = 542,766/x
  3. Step 3: Cross multiply
    253,884x = 542,766 × 542,766
  4. Step 4: Simplify right side
    253,884x = 294,594,930,756
  5. Step 5: Solve for x
    x = 294,594,930,756/253,884
  6. Step 6: Final answer
    x = 1,160,352.49

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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.