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Finding the Third Proportional to 342,937.50 and 462,604.50

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Solution

The third proportional to 342,937.50 and 462,604.50 is: 624,028.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,937.50 : 462,604.50 = 462,604.50 : x
  2. Step 2: Convert to fraction form
    342,937.50/462,604.50 = 462,604.50/x
  3. Step 3: Cross multiply
    342,937.50x = 462,604.50 × 462,604.50
  4. Step 4: Simplify right side
    342,937.50x = 214,002,923,420.25
  5. Step 5: Solve for x
    x = 214,002,923,420.25/342,937.50
  6. Step 6: Final answer
    x = 624,028.94

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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.