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Finding the Third Proportional to 269,507 and 404,226

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Solution

The third proportional to 269,507 and 404,226 is: 606,287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,507 : 404,226 = 404,226 : x
  2. Step 2: Convert to fraction form
    269,507/404,226 = 404,226/x
  3. Step 3: Cross multiply
    269,507x = 404,226 × 404,226
  4. Step 4: Simplify right side
    269,507x = 163,398,659,076
  5. Step 5: Solve for x
    x = 163,398,659,076/269,507
  6. Step 6: Final answer
    x = 606,287.25

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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.