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Finding the Third Proportional to 351,188 and 744,172

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Solution

The third proportional to 351,188 and 744,172 is: 1,576,910.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,188 : 744,172 = 744,172 : x
  2. Step 2: Convert to fraction form
    351,188/744,172 = 744,172/x
  3. Step 3: Cross multiply
    351,188x = 744,172 × 744,172
  4. Step 4: Simplify right side
    351,188x = 553,791,965,584
  5. Step 5: Solve for x
    x = 553,791,965,584/351,188
  6. Step 6: Final answer
    x = 1,576,910.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.