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Finding the Third Proportional to 234,793.69 and 507,105.56

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Solution

The third proportional to 234,793.69 and 507,105.56 is: 1,095,242.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,793.69 : 507,105.56 = 507,105.56 : x
  2. Step 2: Convert to fraction form
    234,793.69/507,105.56 = 507,105.56/x
  3. Step 3: Cross multiply
    234,793.69x = 507,105.56 × 507,105.56
  4. Step 4: Simplify right side
    234,793.69x = 257,156,051,518.44
  5. Step 5: Solve for x
    x = 257,156,051,518.44/234,793.69
  6. Step 6: Final answer
    x = 1,095,242.61

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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.