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Finding the Third Proportional to 269,433 and 404,148

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Solution

The third proportional to 269,433 and 404,148 is: 606,219.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,433 : 404,148 = 404,148 : x
  2. Step 2: Convert to fraction form
    269,433/404,148 = 404,148/x
  3. Step 3: Cross multiply
    269,433x = 404,148 × 404,148
  4. Step 4: Simplify right side
    269,433x = 163,335,605,904
  5. Step 5: Solve for x
    x = 163,335,605,904/269,433
  6. Step 6: Final answer
    x = 606,219.75

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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.