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Finding the Third Proportional to 402,450 and 544,626

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Solution

The third proportional to 402,450 and 544,626 is: 737,029.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,450 : 544,626 = 544,626 : x
  2. Step 2: Convert to fraction form
    402,450/544,626 = 544,626/x
  3. Step 3: Cross multiply
    402,450x = 544,626 × 544,626
  4. Step 4: Simplify right side
    402,450x = 296,617,479,876
  5. Step 5: Solve for x
    x = 296,617,479,876/402,450
  6. Step 6: Final answer
    x = 737,029.39

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.