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Finding the Third Proportional to 267,709 and 356,905.50

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Solution

The third proportional to 267,709 and 356,905.50 is: 475,820.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,709 : 356,905.50 = 356,905.50 : x
  2. Step 2: Convert to fraction form
    267,709/356,905.50 = 356,905.50/x
  3. Step 3: Cross multiply
    267,709x = 356,905.50 × 356,905.50
  4. Step 4: Simplify right side
    267,709x = 127,381,535,930.25
  5. Step 5: Solve for x
    x = 127,381,535,930.25/267,709
  6. Step 6: Final answer
    x = 475,820.89

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.