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Finding the Third Proportional to 203,065 and 440,028.50

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Solution

The third proportional to 203,065 and 440,028.50 is: 953,512.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,065 : 440,028.50 = 440,028.50 : x
  2. Step 2: Convert to fraction form
    203,065/440,028.50 = 440,028.50/x
  3. Step 3: Cross multiply
    203,065x = 440,028.50 × 440,028.50
  4. Step 4: Simplify right side
    203,065x = 193,625,080,812.25
  5. Step 5: Solve for x
    x = 193,625,080,812.25/203,065
  6. Step 6: Final answer
    x = 953,512.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.