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Finding the Third Proportional to 394,216 and 863,063.50

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Solution

The third proportional to 394,216 and 863,063.50 is: 1,889,518.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,216 : 863,063.50 = 863,063.50 : x
  2. Step 2: Convert to fraction form
    394,216/863,063.50 = 863,063.50/x
  3. Step 3: Cross multiply
    394,216x = 863,063.50 × 863,063.50
  4. Step 4: Simplify right side
    394,216x = 744,878,605,032.25
  5. Step 5: Solve for x
    x = 744,878,605,032.25/394,216
  6. Step 6: Final answer
    x = 1,889,518.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.