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Finding the Third Proportional to 208,759 and 465,329

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Solution

The third proportional to 208,759 and 465,329 is: 1,037,229.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,759 : 465,329 = 465,329 : x
  2. Step 2: Convert to fraction form
    208,759/465,329 = 465,329/x
  3. Step 3: Cross multiply
    208,759x = 465,329 × 465,329
  4. Step 4: Simplify right side
    208,759x = 216,531,078,241
  5. Step 5: Solve for x
    x = 216,531,078,241/208,759
  6. Step 6: Final answer
    x = 1,037,229.91

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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.