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Finding the Third Proportional to 341,367.75 and 491,728.50

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Solution

The third proportional to 341,367.75 and 491,728.50 is: 708,317.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,367.75 : 491,728.50 = 491,728.50 : x
  2. Step 2: Convert to fraction form
    341,367.75/491,728.50 = 491,728.50/x
  3. Step 3: Cross multiply
    341,367.75x = 491,728.50 × 491,728.50
  4. Step 4: Simplify right side
    341,367.75x = 241,796,917,712.25
  5. Step 5: Solve for x
    x = 241,796,917,712.25/341,367.75
  6. Step 6: Final answer
    x = 708,317.99

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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.