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Finding the Third Proportional to 273,368.50 and 384,791.75

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Solution

The third proportional to 273,368.50 and 384,791.75 is: 541,630.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,368.50 : 384,791.75 = 384,791.75 : x
  2. Step 2: Convert to fraction form
    273,368.50/384,791.75 = 384,791.75/x
  3. Step 3: Cross multiply
    273,368.50x = 384,791.75 × 384,791.75
  4. Step 4: Simplify right side
    273,368.50x = 148,064,690,868.06
  5. Step 5: Solve for x
    x = 148,064,690,868.06/273,368.50
  6. Step 6: Final answer
    x = 541,630.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.