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Finding the Third Proportional to 215,595.50 and 468,942.25

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Solution

The third proportional to 215,595.50 and 468,942.25 is: 1,019,997.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,595.50 : 468,942.25 = 468,942.25 : x
  2. Step 2: Convert to fraction form
    215,595.50/468,942.25 = 468,942.25/x
  3. Step 3: Cross multiply
    215,595.50x = 468,942.25 × 468,942.25
  4. Step 4: Simplify right side
    215,595.50x = 219,906,833,835.06
  5. Step 5: Solve for x
    x = 219,906,833,835.06/215,595.50
  6. Step 6: Final answer
    x = 1,019,997.33

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.