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Finding the Third Proportional to 212,052.94 and 462,211.31

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Solution

The third proportional to 212,052.94 and 462,211.31 is: 1,007,480.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,052.94 : 462,211.31 = 462,211.31 : x
  2. Step 2: Convert to fraction form
    212,052.94/462,211.31 = 462,211.31/x
  3. Step 3: Cross multiply
    212,052.94x = 462,211.31 × 462,211.31
  4. Step 4: Simplify right side
    212,052.94x = 213,639,297,402.97
  5. Step 5: Solve for x
    x = 213,639,297,402.97/212,052.94
  6. Step 6: Final answer
    x = 1,007,480.96

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Why These Related Problems?

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