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Finding the Third Proportional to 239,295.75 and 522,059.25

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Solution

The third proportional to 239,295.75 and 522,059.25 is: 1,138,949.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,295.75 : 522,059.25 = 522,059.25 : x
  2. Step 2: Convert to fraction form
    239,295.75/522,059.25 = 522,059.25/x
  3. Step 3: Cross multiply
    239,295.75x = 522,059.25 × 522,059.25
  4. Step 4: Simplify right side
    239,295.75x = 272,545,860,510.56
  5. Step 5: Solve for x
    x = 272,545,860,510.56/239,295.75
  6. Step 6: Final answer
    x = 1,138,949.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.