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Finding the Third Proportional to 221,763 and 534,655.50

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Solution

The third proportional to 221,763 and 534,655.50 is: 1,289,018.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,763 : 534,655.50 = 534,655.50 : x
  2. Step 2: Convert to fraction form
    221,763/534,655.50 = 534,655.50/x
  3. Step 3: Cross multiply
    221,763x = 534,655.50 × 534,655.50
  4. Step 4: Simplify right side
    221,763x = 285,856,503,680.25
  5. Step 5: Solve for x
    x = 285,856,503,680.25/221,763
  6. Step 6: Final answer
    x = 1,289,018.02

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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.