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Finding the Third Proportional to 267,073 and 356,740

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Solution

The third proportional to 267,073 and 356,740 is: 476,511.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,073 : 356,740 = 356,740 : x
  2. Step 2: Convert to fraction form
    267,073/356,740 = 356,740/x
  3. Step 3: Cross multiply
    267,073x = 356,740 × 356,740
  4. Step 4: Simplify right side
    267,073x = 127,263,427,600
  5. Step 5: Solve for x
    x = 127,263,427,600/267,073
  6. Step 6: Final answer
    x = 476,511.77

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.