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Finding the Third Proportional to 416,558.50 and 862,655

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Solution

The third proportional to 416,558.50 and 862,655 is: 1,786,480.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,558.50 : 862,655 = 862,655 : x
  2. Step 2: Convert to fraction form
    416,558.50/862,655 = 862,655/x
  3. Step 3: Cross multiply
    416,558.50x = 862,655 × 862,655
  4. Step 4: Simplify right side
    416,558.50x = 744,173,649,025
  5. Step 5: Solve for x
    x = 744,173,649,025/416,558.50
  6. Step 6: Final answer
    x = 1,786,480.53

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.