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Finding the Third Proportional to 347,996.25 and 529,284.38

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Solution

The third proportional to 347,996.25 and 529,284.38 is: 805,014.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,996.25 : 529,284.38 = 529,284.38 : x
  2. Step 2: Convert to fraction form
    347,996.25/529,284.38 = 529,284.38/x
  3. Step 3: Cross multiply
    347,996.25x = 529,284.38 × 529,284.38
  4. Step 4: Simplify right side
    347,996.25x = 280,141,949,619.14
  5. Step 5: Solve for x
    x = 280,141,949,619.14/347,996.25
  6. Step 6: Final answer
    x = 805,014.28

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.