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Finding the Third Proportional to 340,991.50 and 568,295

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Solution

The third proportional to 340,991.50 and 568,295 is: 947,118.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,991.50 : 568,295 = 568,295 : x
  2. Step 2: Convert to fraction form
    340,991.50/568,295 = 568,295/x
  3. Step 3: Cross multiply
    340,991.50x = 568,295 × 568,295
  4. Step 4: Simplify right side
    340,991.50x = 322,959,207,025
  5. Step 5: Solve for x
    x = 322,959,207,025/340,991.50
  6. Step 6: Final answer
    x = 947,118.06

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.