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Finding the Third Proportional to 294,494.50 and 641,134

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Solution

The third proportional to 294,494.50 and 641,134 is: 1,395,791.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,494.50 : 641,134 = 641,134 : x
  2. Step 2: Convert to fraction form
    294,494.50/641,134 = 641,134/x
  3. Step 3: Cross multiply
    294,494.50x = 641,134 × 641,134
  4. Step 4: Simplify right side
    294,494.50x = 411,052,805,956
  5. Step 5: Solve for x
    x = 411,052,805,956/294,494.50
  6. Step 6: Final answer
    x = 1,395,791.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.