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Finding the Third Proportional to 384,744.94 and 574,963.31

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Solution

The third proportional to 384,744.94 and 574,963.31 is: 859,225.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,744.94 : 574,963.31 = 574,963.31 : x
  2. Step 2: Convert to fraction form
    384,744.94/574,963.31 = 574,963.31/x
  3. Step 3: Cross multiply
    384,744.94x = 574,963.31 × 574,963.31
  4. Step 4: Simplify right side
    384,744.94x = 330,582,810,720.97
  5. Step 5: Solve for x
    x = 330,582,810,720.97/384,744.94
  6. Step 6: Final answer
    x = 859,225.89

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Why These Related Problems?

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