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Finding the Third Proportional to 570,517.50 and 1,236,168.50

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Solution

The third proportional to 570,517.50 and 1,236,168.50 is: 2,678,467.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,517.50 : 1,236,168.50 = 1,236,168.50 : x
  2. Step 2: Convert to fraction form
    570,517.50/1,236,168.50 = 1,236,168.50/x
  3. Step 3: Cross multiply
    570,517.50x = 1,236,168.50 × 1,236,168.50
  4. Step 4: Simplify right side
    570,517.50x = 1,528,112,560,392.25
  5. Step 5: Solve for x
    x = 1,528,112,560,392.25/570,517.50
  6. Step 6: Final answer
    x = 2,678,467.46

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.