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Finding the Third Proportional to 552,096 and 809,905.50

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Solution

The third proportional to 552,096 and 809,905.50 is: 1,188,103.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,096 : 809,905.50 = 809,905.50 : x
  2. Step 2: Convert to fraction form
    552,096/809,905.50 = 809,905.50/x
  3. Step 3: Cross multiply
    552,096x = 809,905.50 × 809,905.50
  4. Step 4: Simplify right side
    552,096x = 655,946,918,930.25
  5. Step 5: Solve for x
    x = 655,946,918,930.25/552,096
  6. Step 6: Final answer
    x = 1,188,103.01

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.