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Finding the Third Proportional to 247,968 and 537,138

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Solution

The third proportional to 247,968 and 537,138 is: 1,163,526.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,968 : 537,138 = 537,138 : x
  2. Step 2: Convert to fraction form
    247,968/537,138 = 537,138/x
  3. Step 3: Cross multiply
    247,968x = 537,138 × 537,138
  4. Step 4: Simplify right side
    247,968x = 288,517,231,044
  5. Step 5: Solve for x
    x = 288,517,231,044/247,968
  6. Step 6: Final answer
    x = 1,163,526.06

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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.