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Finding the Third Proportional to 250,228 and 388,038

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Solution

The third proportional to 250,228 and 388,038 is: 601,745.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,228 : 388,038 = 388,038 : x
  2. Step 2: Convert to fraction form
    250,228/388,038 = 388,038/x
  3. Step 3: Cross multiply
    250,228x = 388,038 × 388,038
  4. Step 4: Simplify right side
    250,228x = 150,573,489,444
  5. Step 5: Solve for x
    x = 150,573,489,444/250,228
  6. Step 6: Final answer
    x = 601,745.17

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.