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Finding the Third Proportional to 361,350 and 562,041

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Solution

The third proportional to 361,350 and 562,041 is: 874,194.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,350 : 562,041 = 562,041 : x
  2. Step 2: Convert to fraction form
    361,350/562,041 = 562,041/x
  3. Step 3: Cross multiply
    361,350x = 562,041 × 562,041
  4. Step 4: Simplify right side
    361,350x = 315,890,085,681
  5. Step 5: Solve for x
    x = 315,890,085,681/361,350
  6. Step 6: Final answer
    x = 874,194.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.