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Finding the Third Proportional to 221,544 and 534,124.50

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Solution

The third proportional to 221,544 and 534,124.50 is: 1,287,730.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,544 : 534,124.50 = 534,124.50 : x
  2. Step 2: Convert to fraction form
    221,544/534,124.50 = 534,124.50/x
  3. Step 3: Cross multiply
    221,544x = 534,124.50 × 534,124.50
  4. Step 4: Simplify right side
    221,544x = 285,288,981,500.25
  5. Step 5: Solve for x
    x = 285,288,981,500.25/221,544
  6. Step 6: Final answer
    x = 1,287,730.57

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.