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Finding the Third Proportional to 269,898 and 388,807.50

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Solution

The third proportional to 269,898 and 388,807.50 is: 560,105.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,898 : 388,807.50 = 388,807.50 : x
  2. Step 2: Convert to fraction form
    269,898/388,807.50 = 388,807.50/x
  3. Step 3: Cross multiply
    269,898x = 388,807.50 × 388,807.50
  4. Step 4: Simplify right side
    269,898x = 151,171,272,056.25
  5. Step 5: Solve for x
    x = 151,171,272,056.25/269,898
  6. Step 6: Final answer
    x = 560,105.20

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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.