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Finding the Third Proportional to 393,648 and 590,367.75

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Solution

The third proportional to 393,648 and 590,367.75 is: 885,395.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,648 : 590,367.75 = 590,367.75 : x
  2. Step 2: Convert to fraction form
    393,648/590,367.75 = 590,367.75/x
  3. Step 3: Cross multiply
    393,648x = 590,367.75 × 590,367.75
  4. Step 4: Simplify right side
    393,648x = 348,534,080,240.06
  5. Step 5: Solve for x
    x = 348,534,080,240.06/393,648
  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.