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Finding the Third Proportional to 589,683.38 and 883,600.31

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Solution

The third proportional to 589,683.38 and 883,600.31 is: 1,324,014.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,683.38 : 883,600.31 = 883,600.31 : x
  2. Step 2: Convert to fraction form
    589,683.38/883,600.31 = 883,600.31/x
  3. Step 3: Cross multiply
    589,683.38x = 883,600.31 × 883,600.31
  4. Step 4: Simplify right side
    589,683.38x = 780,749,512,250.10
  5. Step 5: Solve for x
    x = 780,749,512,250.10/589,683.38
  6. Step 6: Final answer
    x = 1,324,014.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.