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Finding the Third Proportional to 186,785 and 399,814

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Solution

The third proportional to 186,785 and 399,814 is: 855,803.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,785 : 399,814 = 399,814 : x
  2. Step 2: Convert to fraction form
    186,785/399,814 = 399,814/x
  3. Step 3: Cross multiply
    186,785x = 399,814 × 399,814
  4. Step 4: Simplify right side
    186,785x = 159,851,234,596
  5. Step 5: Solve for x
    x = 159,851,234,596/186,785
  6. Step 6: Final answer
    x = 855,803.38

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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.