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Finding the Third Proportional to 214,768.13 and 485,228.81

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Solution

The third proportional to 214,768.13 and 485,228.81 is: 1,096,284.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,768.13 : 485,228.81 = 485,228.81 : x
  2. Step 2: Convert to fraction form
    214,768.13/485,228.81 = 485,228.81/x
  3. Step 3: Cross multiply
    214,768.13x = 485,228.81 × 485,228.81
  4. Step 4: Simplify right side
    214,768.13x = 235,447,000,480.16
  5. Step 5: Solve for x
    x = 235,447,000,480.16/214,768.13
  6. Step 6: Final answer
    x = 1,096,284.66

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.