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Finding the Third Proportional to 186,824 and 399,892

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Solution

The third proportional to 186,824 and 399,892 is: 855,958.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,824 : 399,892 = 399,892 : x
  2. Step 2: Convert to fraction form
    186,824/399,892 = 399,892/x
  3. Step 3: Cross multiply
    186,824x = 399,892 × 399,892
  4. Step 4: Simplify right side
    186,824x = 159,913,611,664
  5. Step 5: Solve for x
    x = 159,913,611,664/186,824
  6. Step 6: Final answer
    x = 855,958.61

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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.