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Finding the Third Proportional to 726,102 and 969,799.50

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Solution

The third proportional to 726,102 and 969,799.50 is: 1,295,287.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,102 : 969,799.50 = 969,799.50 : x
  2. Step 2: Convert to fraction form
    726,102/969,799.50 = 969,799.50/x
  3. Step 3: Cross multiply
    726,102x = 969,799.50 × 969,799.50
  4. Step 4: Simplify right side
    726,102x = 940,511,070,200.25
  5. Step 5: Solve for x
    x = 940,511,070,200.25/726,102
  6. Step 6: Final answer
    x = 1,295,287.81

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.