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Finding the Third Proportional to 393,647 and 590,367

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Solution

The third proportional to 393,647 and 590,367 is: 885,395.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,647 : 590,367 = 590,367 : x
  2. Step 2: Convert to fraction form
    393,647/590,367 = 590,367/x
  3. Step 3: Cross multiply
    393,647x = 590,367 × 590,367
  4. Step 4: Simplify right side
    393,647x = 348,533,194,689
  5. Step 5: Solve for x
    x = 348,533,194,689/393,647
  6. Step 6: Final answer
    x = 885,395.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.