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Finding the Third Proportional to 186,552 and 399,720

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Solution

The third proportional to 186,552 and 399,720 is: 856,469.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,552 : 399,720 = 399,720 : x
  2. Step 2: Convert to fraction form
    186,552/399,720 = 399,720/x
  3. Step 3: Cross multiply
    186,552x = 399,720 × 399,720
  4. Step 4: Simplify right side
    186,552x = 159,776,078,400
  5. Step 5: Solve for x
    x = 159,776,078,400/186,552
  6. Step 6: Final answer
    x = 856,469.39

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.