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Finding the Third Proportional to 263,262 and 404,735

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Solution

The third proportional to 263,262 and 404,735 is: 622,233.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,262 : 404,735 = 404,735 : x
  2. Step 2: Convert to fraction form
    263,262/404,735 = 404,735/x
  3. Step 3: Cross multiply
    263,262x = 404,735 × 404,735
  4. Step 4: Simplify right side
    263,262x = 163,810,420,225
  5. Step 5: Solve for x
    x = 163,810,420,225/263,262
  6. Step 6: Final answer
    x = 622,233.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.