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Finding the Third Proportional to 399,586.50 and 850,027.50

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Solution

The third proportional to 399,586.50 and 850,027.50 is: 1,808,236.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,586.50 : 850,027.50 = 850,027.50 : x
  2. Step 2: Convert to fraction form
    399,586.50/850,027.50 = 850,027.50/x
  3. Step 3: Cross multiply
    399,586.50x = 850,027.50 × 850,027.50
  4. Step 4: Simplify right side
    399,586.50x = 722,546,750,756.25
  5. Step 5: Solve for x
    x = 722,546,750,756.25/399,586.50
  6. Step 6: Final answer
    x = 1,808,236.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.