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Finding the Third Proportional to 200,546.72 and 437,077.69

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Solution

The third proportional to 200,546.72 and 437,077.69 is: 952,580.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,546.72 : 437,077.69 = 437,077.69 : x
  2. Step 2: Convert to fraction form
    200,546.72/437,077.69 = 437,077.69/x
  3. Step 3: Cross multiply
    200,546.72x = 437,077.69 × 437,077.69
  4. Step 4: Simplify right side
    200,546.72x = 191,036,904,910.35
  5. Step 5: Solve for x
    x = 191,036,904,910.35/200,546.72
  6. Step 6: Final answer
    x = 952,580.56

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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.