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Finding the Third Proportional to 186,787 and 399,818

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Solution

The third proportional to 186,787 and 399,818 is: 855,811.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,787 : 399,818 = 399,818 : x
  2. Step 2: Convert to fraction form
    186,787/399,818 = 399,818/x
  3. Step 3: Cross multiply
    186,787x = 399,818 × 399,818
  4. Step 4: Simplify right side
    186,787x = 159,854,433,124
  5. Step 5: Solve for x
    x = 159,854,433,124/186,787
  6. Step 6: Final answer
    x = 855,811.34

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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.