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Finding the Third Proportional to 234,631.50 and 515,917.50

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Solution

The third proportional to 234,631.50 and 515,917.50 is: 1,134,420.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,631.50 : 515,917.50 = 515,917.50 : x
  2. Step 2: Convert to fraction form
    234,631.50/515,917.50 = 515,917.50/x
  3. Step 3: Cross multiply
    234,631.50x = 515,917.50 × 515,917.50
  4. Step 4: Simplify right side
    234,631.50x = 266,170,866,806.25
  5. Step 5: Solve for x
    x = 266,170,866,806.25/234,631.50
  6. Step 6: Final answer
    x = 1,134,420.85

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.