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Finding the Third Proportional to 191,815 and 403,517

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Solution

The third proportional to 191,815 and 403,517 is: 848,869.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,815 : 403,517 = 403,517 : x
  2. Step 2: Convert to fraction form
    191,815/403,517 = 403,517/x
  3. Step 3: Cross multiply
    191,815x = 403,517 × 403,517
  4. Step 4: Simplify right side
    191,815x = 162,825,969,289
  5. Step 5: Solve for x
    x = 162,825,969,289/191,815
  6. Step 6: Final answer
    x = 848,869.84

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.