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Finding the Third Proportional to 234,475.31 and 477,237.09

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Solution

The third proportional to 234,475.31 and 477,237.09 is: 971,339.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,475.31 : 477,237.09 = 477,237.09 : x
  2. Step 2: Convert to fraction form
    234,475.31/477,237.09 = 477,237.09/x
  3. Step 3: Cross multiply
    234,475.31x = 477,237.09 × 477,237.09
  4. Step 4: Simplify right side
    234,475.31x = 227,755,243,650.95
  5. Step 5: Solve for x
    x = 227,755,243,650.95/234,475.31
  6. Step 6: Final answer
    x = 971,339.97

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.