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Finding the Third Proportional to 342,927.50 and 462,591.75

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Solution

The third proportional to 342,927.50 and 462,591.75 is: 624,012.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,927.50 : 462,591.75 = 462,591.75 : x
  2. Step 2: Convert to fraction form
    342,927.50/462,591.75 = 462,591.75/x
  3. Step 3: Cross multiply
    342,927.50x = 462,591.75 × 462,591.75
  4. Step 4: Simplify right side
    342,927.50x = 213,991,127,168.06
  5. Step 5: Solve for x
    x = 213,991,127,168.06/342,927.50
  6. Step 6: Final answer
    x = 624,012.73

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.