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Finding the Third Proportional to 427,690.50 and 662,163.75

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Solution

The third proportional to 427,690.50 and 662,163.75 is: 1,025,182.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,690.50 : 662,163.75 = 662,163.75 : x
  2. Step 2: Convert to fraction form
    427,690.50/662,163.75 = 662,163.75/x
  3. Step 3: Cross multiply
    427,690.50x = 662,163.75 × 662,163.75
  4. Step 4: Simplify right side
    427,690.50x = 438,460,831,814.06
  5. Step 5: Solve for x
    x = 438,460,831,814.06/427,690.50
  6. Step 6: Final answer
    x = 1,025,182.54

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Why These Related Problems?

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