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Finding the Third Proportional to 186,573 and 399,741

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Solution

The third proportional to 186,573 and 399,741 is: 856,462.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,573 : 399,741 = 399,741 : x
  2. Step 2: Convert to fraction form
    186,573/399,741 = 399,741/x
  3. Step 3: Cross multiply
    186,573x = 399,741 × 399,741
  4. Step 4: Simplify right side
    186,573x = 159,792,867,081
  5. Step 5: Solve for x
    x = 159,792,867,081/186,573
  6. Step 6: Final answer
    x = 856,462.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.