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Finding the Third Proportional to 186,605 and 399,831

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Solution

The third proportional to 186,605 and 399,831 is: 856,701.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,605 : 399,831 = 399,831 : x
  2. Step 2: Convert to fraction form
    186,605/399,831 = 399,831/x
  3. Step 3: Cross multiply
    186,605x = 399,831 × 399,831
  4. Step 4: Simplify right side
    186,605x = 159,864,828,561
  5. Step 5: Solve for x
    x = 159,864,828,561/186,605
  6. Step 6: Final answer
    x = 856,701.74

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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.