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Finding the Third Proportional to 269,904 and 388,816.50

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Solution

The third proportional to 269,904 and 388,816.50 is: 560,118.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,904 : 388,816.50 = 388,816.50 : x
  2. Step 2: Convert to fraction form
    269,904/388,816.50 = 388,816.50/x
  3. Step 3: Cross multiply
    269,904x = 388,816.50 × 388,816.50
  4. Step 4: Simplify right side
    269,904x = 151,178,270,672.25
  5. Step 5: Solve for x
    x = 151,178,270,672.25/269,904
  6. Step 6: Final answer
    x = 560,118.67

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.