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Finding the Third Proportional to 250,821 and 388,531.50

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Solution

The third proportional to 250,821 and 388,531.50 is: 601,850.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,821 : 388,531.50 = 388,531.50 : x
  2. Step 2: Convert to fraction form
    250,821/388,531.50 = 388,531.50/x
  3. Step 3: Cross multiply
    250,821x = 388,531.50 × 388,531.50
  4. Step 4: Simplify right side
    250,821x = 150,956,726,492.25
  5. Step 5: Solve for x
    x = 150,956,726,492.25/250,821
  6. Step 6: Final answer
    x = 601,850.43

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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.