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Finding the Third Proportional to 269,434.97 and 374,627.81

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Solution

The third proportional to 269,434.97 and 374,627.81 is: 520,890.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,434.97 : 374,627.81 = 374,627.81 : x
  2. Step 2: Convert to fraction form
    269,434.97/374,627.81 = 374,627.81/x
  3. Step 3: Cross multiply
    269,434.97x = 374,627.81 × 374,627.81
  4. Step 4: Simplify right side
    269,434.97x = 140,345,997,898.54
  5. Step 5: Solve for x
    x = 140,345,997,898.54/269,434.97
  6. Step 6: Final answer
    x = 520,890.06

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.