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Finding the Third Proportional to 234,125.75 and 512,358.86

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Solution

The third proportional to 234,125.75 and 512,358.86 is: 1,121,241.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,125.75 : 512,358.86 = 512,358.86 : x
  2. Step 2: Convert to fraction form
    234,125.75/512,358.86 = 512,358.86/x
  3. Step 3: Cross multiply
    234,125.75x = 512,358.86 × 512,358.86
  4. Step 4: Simplify right side
    234,125.75x = 262,511,596,777.25
  5. Step 5: Solve for x
    x = 262,511,596,777.25/234,125.75
  6. Step 6: Final answer
    x = 1,121,241.86

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.