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Finding the Third Proportional to 269,704.13 and 409,476.38

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Solution

The third proportional to 269,704.13 and 409,476.38 is: 621,684.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,704.13 : 409,476.38 = 409,476.38 : x
  2. Step 2: Convert to fraction form
    269,704.13/409,476.38 = 409,476.38/x
  3. Step 3: Cross multiply
    269,704.13x = 409,476.38 × 409,476.38
  4. Step 4: Simplify right side
    269,704.13x = 167,670,901,683.14
  5. Step 5: Solve for x
    x = 167,670,901,683.14/269,704.13
  6. Step 6: Final answer
    x = 621,684.60

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.