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Finding the Third Proportional to 393,963.75 and 585,204.75

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Solution

The third proportional to 393,963.75 and 585,204.75 is: 869,279.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,963.75 : 585,204.75 = 585,204.75 : x
  2. Step 2: Convert to fraction form
    393,963.75/585,204.75 = 585,204.75/x
  3. Step 3: Cross multiply
    393,963.75x = 585,204.75 × 585,204.75
  4. Step 4: Simplify right side
    393,963.75x = 342,464,599,422.56
  5. Step 5: Solve for x
    x = 342,464,599,422.56/393,963.75
  6. Step 6: Final answer
    x = 869,279.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.