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Finding the Third Proportional to 523,597.50 and 800,616

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Solution

The third proportional to 523,597.50 and 800,616 is: 1,224,196.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,597.50 : 800,616 = 800,616 : x
  2. Step 2: Convert to fraction form
    523,597.50/800,616 = 800,616/x
  3. Step 3: Cross multiply
    523,597.50x = 800,616 × 800,616
  4. Step 4: Simplify right side
    523,597.50x = 640,985,979,456
  5. Step 5: Solve for x
    x = 640,985,979,456/523,597.50
  6. Step 6: Final answer
    x = 1,224,196.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.