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Finding the Third Proportional to 269,194 and 404,440

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Solution

The third proportional to 269,194 and 404,440 is: 607,635.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,194 : 404,440 = 404,440 : x
  2. Step 2: Convert to fraction form
    269,194/404,440 = 404,440/x
  3. Step 3: Cross multiply
    269,194x = 404,440 × 404,440
  4. Step 4: Simplify right side
    269,194x = 163,571,713,600
  5. Step 5: Solve for x
    x = 163,571,713,600/269,194
  6. Step 6: Final answer
    x = 607,635.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.