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Finding the Third Proportional to 292,855.50 and 397,811.25

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Solution

The third proportional to 292,855.50 and 397,811.25 is: 540,381.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,855.50 : 397,811.25 = 397,811.25 : x
  2. Step 2: Convert to fraction form
    292,855.50/397,811.25 = 397,811.25/x
  3. Step 3: Cross multiply
    292,855.50x = 397,811.25 × 397,811.25
  4. Step 4: Simplify right side
    292,855.50x = 158,253,790,626.56
  5. Step 5: Solve for x
    x = 158,253,790,626.56/292,855.50
  6. Step 6: Final answer
    x = 540,381.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.