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Finding the Third Proportional to 203,478 and 437,052

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Solution

The third proportional to 203,478 and 437,052 is: 938,747.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,478 : 437,052 = 437,052 : x
  2. Step 2: Convert to fraction form
    203,478/437,052 = 437,052/x
  3. Step 3: Cross multiply
    203,478x = 437,052 × 437,052
  4. Step 4: Simplify right side
    203,478x = 191,014,450,704
  5. Step 5: Solve for x
    x = 191,014,450,704/203,478
  6. Step 6: Final answer
    x = 938,747.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.