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Finding the Third Proportional to 203,070 and 468,027

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Solution

The third proportional to 203,070 and 468,027 is: 1,078,688.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,070 : 468,027 = 468,027 : x
  2. Step 2: Convert to fraction form
    203,070/468,027 = 468,027/x
  3. Step 3: Cross multiply
    203,070x = 468,027 × 468,027
  4. Step 4: Simplify right side
    203,070x = 219,049,272,729
  5. Step 5: Solve for x
    x = 219,049,272,729/203,070
  6. Step 6: Final answer
    x = 1,078,688.50

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.