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Finding the Third Proportional to 675,602 and 950,223

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Solution

The third proportional to 675,602 and 950,223 is: 1,336,472.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,602 : 950,223 = 950,223 : x
  2. Step 2: Convert to fraction form
    675,602/950,223 = 950,223/x
  3. Step 3: Cross multiply
    675,602x = 950,223 × 950,223
  4. Step 4: Simplify right side
    675,602x = 902,923,749,729
  5. Step 5: Solve for x
    x = 902,923,749,729/675,602
  6. Step 6: Final answer
    x = 1,336,472.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.