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Finding the Third Proportional to 208,744 and 465,297

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Solution

The third proportional to 208,744 and 465,297 is: 1,037,161.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,744 : 465,297 = 465,297 : x
  2. Step 2: Convert to fraction form
    208,744/465,297 = 465,297/x
  3. Step 3: Cross multiply
    208,744x = 465,297 × 465,297
  4. Step 4: Simplify right side
    208,744x = 216,501,298,209
  5. Step 5: Solve for x
    x = 216,501,298,209/208,744
  6. Step 6: Final answer
    x = 1,037,161.78

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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.