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Finding the Third Proportional to 186,609 and 399,839

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Solution

The third proportional to 186,609 and 399,839 is: 856,717.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,609 : 399,839 = 399,839 : x
  2. Step 2: Convert to fraction form
    186,609/399,839 = 399,839/x
  3. Step 3: Cross multiply
    186,609x = 399,839 × 399,839
  4. Step 4: Simplify right side
    186,609x = 159,871,225,921
  5. Step 5: Solve for x
    x = 159,871,225,921/186,609
  6. Step 6: Final answer
    x = 856,717.66

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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.