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Finding the Third Proportional to 341,362.69 and 491,722.31

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Solution

The third proportional to 341,362.69 and 491,722.31 is: 708,310.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,362.69 : 491,722.31 = 491,722.31 : x
  2. Step 2: Convert to fraction form
    341,362.69/491,722.31 = 491,722.31/x
  3. Step 3: Cross multiply
    341,362.69x = 491,722.31 × 491,722.31
  4. Step 4: Simplify right side
    341,362.69x = 241,790,832,610.35
  5. Step 5: Solve for x
    x = 241,790,832,610.35/341,362.69
  6. Step 6: Final answer
    x = 708,310.67

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.