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Finding the Third Proportional to 208,757 and 465,325

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Solution

The third proportional to 208,757 and 465,325 is: 1,037,222.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,757 : 465,325 = 465,325 : x
  2. Step 2: Convert to fraction form
    208,757/465,325 = 465,325/x
  3. Step 3: Cross multiply
    208,757x = 465,325 × 465,325
  4. Step 4: Simplify right side
    208,757x = 216,527,355,625
  5. Step 5: Solve for x
    x = 216,527,355,625/208,757
  6. Step 6: Final answer
    x = 1,037,222.01

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.