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Finding the Third Proportional to 206,428.50 and 427,015.69

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Solution

The third proportional to 206,428.50 and 427,015.69 is: 883,319.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,428.50 : 427,015.69 = 427,015.69 : x
  2. Step 2: Convert to fraction form
    206,428.50/427,015.69 = 427,015.69/x
  3. Step 3: Cross multiply
    206,428.50x = 427,015.69 × 427,015.69
  4. Step 4: Simplify right side
    206,428.50x = 182,342,397,371.10
  5. Step 5: Solve for x
    x = 182,342,397,371.10/206,428.50
  6. Step 6: Final answer
    x = 883,319.88

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.