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Finding the Third Proportional to 247,978 and 537,156

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Solution

The third proportional to 247,978 and 537,156 is: 1,163,557.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,978 : 537,156 = 537,156 : x
  2. Step 2: Convert to fraction form
    247,978/537,156 = 537,156/x
  3. Step 3: Cross multiply
    247,978x = 537,156 × 537,156
  4. Step 4: Simplify right side
    247,978x = 288,536,568,336
  5. Step 5: Solve for x
    x = 288,536,568,336/247,978
  6. Step 6: Final answer
    x = 1,163,557.12

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.