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Finding the Third Proportional to 384,745.78 and 574,964.16

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Solution

The third proportional to 384,745.78 and 574,964.16 is: 859,226.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,745.78 : 574,964.16 = 574,964.16 : x
  2. Step 2: Convert to fraction form
    384,745.78/574,964.16 = 574,964.16/x
  3. Step 3: Cross multiply
    384,745.78x = 574,964.16 × 574,964.16
  4. Step 4: Simplify right side
    384,745.78x = 330,583,780,972.27
  5. Step 5: Solve for x
    x = 330,583,780,972.27/384,745.78
  6. Step 6: Final answer
    x = 859,226.53

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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.