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Finding the Third Proportional to 428,331 and 952,404

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Solution

The third proportional to 428,331 and 952,404 is: 2,117,692.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,331 : 952,404 = 952,404 : x
  2. Step 2: Convert to fraction form
    428,331/952,404 = 952,404/x
  3. Step 3: Cross multiply
    428,331x = 952,404 × 952,404
  4. Step 4: Simplify right side
    428,331x = 907,073,379,216
  5. Step 5: Solve for x
    x = 907,073,379,216/428,331
  6. Step 6: Final answer
    x = 2,117,692.58

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.