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Finding the Third Proportional to 393,644.63 and 590,364.38

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Solution

The third proportional to 393,644.63 and 590,364.38 is: 885,392.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,644.63 : 590,364.38 = 590,364.38 : x
  2. Step 2: Convert to fraction form
    393,644.63/590,364.38 = 590,364.38/x
  3. Step 3: Cross multiply
    393,644.63x = 590,364.38 × 590,364.38
  4. Step 4: Simplify right side
    393,644.63x = 348,530,095,269.14
  5. Step 5: Solve for x
    x = 348,530,095,269.14/393,644.63
  6. Step 6: Final answer
    x = 885,392.75

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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.