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Finding the Third Proportional to 350,064 and 768,204

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Solution

The third proportional to 350,064 and 768,204 is: 1,685,798.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,064 : 768,204 = 768,204 : x
  2. Step 2: Convert to fraction form
    350,064/768,204 = 768,204/x
  3. Step 3: Cross multiply
    350,064x = 768,204 × 768,204
  4. Step 4: Simplify right side
    350,064x = 590,137,385,616
  5. Step 5: Solve for x
    x = 590,137,385,616/350,064
  6. Step 6: Final answer
    x = 1,685,798.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.