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Finding the Third Proportional to 384,744.75 and 574,963.75

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Solution

The third proportional to 384,744.75 and 574,963.75 is: 859,227.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,744.75 : 574,963.75 = 574,963.75 : x
  2. Step 2: Convert to fraction form
    384,744.75/574,963.75 = 574,963.75/x
  3. Step 3: Cross multiply
    384,744.75x = 574,963.75 × 574,963.75
  4. Step 4: Simplify right side
    384,744.75x = 330,583,313,814.06
  5. Step 5: Solve for x
    x = 330,583,313,814.06/384,744.75
  6. Step 6: Final answer
    x = 859,227.61

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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.