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Finding the Third Proportional to 483,606 and 748,099.50

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Solution

The third proportional to 483,606 and 748,099.50 is: 1,157,249.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,606 : 748,099.50 = 748,099.50 : x
  2. Step 2: Convert to fraction form
    483,606/748,099.50 = 748,099.50/x
  3. Step 3: Cross multiply
    483,606x = 748,099.50 × 748,099.50
  4. Step 4: Simplify right side
    483,606x = 559,652,861,900.25
  5. Step 5: Solve for x
    x = 559,652,861,900.25/483,606
  6. Step 6: Final answer
    x = 1,157,249.62

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.