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Finding the Third Proportional to 360,616.50 and 561,336.75

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Solution

The third proportional to 360,616.50 and 561,336.75 is: 873,778.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,616.50 : 561,336.75 = 561,336.75 : x
  2. Step 2: Convert to fraction form
    360,616.50/561,336.75 = 561,336.75/x
  3. Step 3: Cross multiply
    360,616.50x = 561,336.75 × 561,336.75
  4. Step 4: Simplify right side
    360,616.50x = 315,098,946,900.56
  5. Step 5: Solve for x
    x = 315,098,946,900.56/360,616.50
  6. Step 6: Final answer
    x = 873,778.51

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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.