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Finding the Third Proportional to 186,604 and 399,829

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Solution

The third proportional to 186,604 and 399,829 is: 856,697.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,604 : 399,829 = 399,829 : x
  2. Step 2: Convert to fraction form
    186,604/399,829 = 399,829/x
  3. Step 3: Cross multiply
    186,604x = 399,829 × 399,829
  4. Step 4: Simplify right side
    186,604x = 159,863,229,241
  5. Step 5: Solve for x
    x = 159,863,229,241/186,604
  6. Step 6: Final answer
    x = 856,697.76

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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.