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Finding the Third Proportional to 632,115 and 969,385.50

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Solution

The third proportional to 632,115 and 969,385.50 is: 1,486,609.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,115 : 969,385.50 = 969,385.50 : x
  2. Step 2: Convert to fraction form
    632,115/969,385.50 = 969,385.50/x
  3. Step 3: Cross multiply
    632,115x = 969,385.50 × 969,385.50
  4. Step 4: Simplify right side
    632,115x = 939,708,247,610.25
  5. Step 5: Solve for x
    x = 939,708,247,610.25/632,115
  6. Step 6: Final answer
    x = 1,486,609.63

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.