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Finding the Third Proportional to 214,462.69 and 464,230.62

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Solution

The third proportional to 214,462.69 and 464,230.62 is: 1,004,883.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,462.69 : 464,230.62 = 464,230.62 : x
  2. Step 2: Convert to fraction form
    214,462.69/464,230.62 = 464,230.62/x
  3. Step 3: Cross multiply
    214,462.69x = 464,230.62 × 464,230.62
  4. Step 4: Simplify right side
    214,462.69x = 215,510,065,934.29
  5. Step 5: Solve for x
    x = 215,510,065,934.29/214,462.69
  6. Step 6: Final answer
    x = 1,004,883.73

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.