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Finding the Third Proportional to 214,470 and 462,181.50

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Solution

The third proportional to 214,470 and 462,181.50 is: 995,998.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,470 : 462,181.50 = 462,181.50 : x
  2. Step 2: Convert to fraction form
    214,470/462,181.50 = 462,181.50/x
  3. Step 3: Cross multiply
    214,470x = 462,181.50 × 462,181.50
  4. Step 4: Simplify right side
    214,470x = 213,611,738,942.25
  5. Step 5: Solve for x
    x = 213,611,738,942.25/214,470
  6. Step 6: Final answer
    x = 995,998.22

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