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Finding the Third Proportional to 183,509 and 404,269

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Solution

The third proportional to 183,509 and 404,269 is: 890,601.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,509 : 404,269 = 404,269 : x
  2. Step 2: Convert to fraction form
    183,509/404,269 = 404,269/x
  3. Step 3: Cross multiply
    183,509x = 404,269 × 404,269
  4. Step 4: Simplify right side
    183,509x = 163,433,424,361
  5. Step 5: Solve for x
    x = 163,433,424,361/183,509
  6. Step 6: Final answer
    x = 890,601.68

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.