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Finding the Third Proportional to 388,170 and 844,683.50

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Solution

The third proportional to 388,170 and 844,683.50 is: 1,838,086.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,170 : 844,683.50 = 844,683.50 : x
  2. Step 2: Convert to fraction form
    388,170/844,683.50 = 844,683.50/x
  3. Step 3: Cross multiply
    388,170x = 844,683.50 × 844,683.50
  4. Step 4: Simplify right side
    388,170x = 713,490,215,172.25
  5. Step 5: Solve for x
    x = 713,490,215,172.25/388,170
  6. Step 6: Final answer
    x = 1,838,086.96

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.