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Finding the Third Proportional to 337,096.50 and 728,179.50

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Solution

The third proportional to 337,096.50 and 728,179.50 is: 1,572,978.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,096.50 : 728,179.50 = 728,179.50 : x
  2. Step 2: Convert to fraction form
    337,096.50/728,179.50 = 728,179.50/x
  3. Step 3: Cross multiply
    337,096.50x = 728,179.50 × 728,179.50
  4. Step 4: Simplify right side
    337,096.50x = 530,245,384,220.25
  5. Step 5: Solve for x
    x = 530,245,384,220.25/337,096.50
  6. Step 6: Final answer
    x = 1,572,978.02

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.