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Finding the Third Proportional to 342,933.75 and 462,601.13

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Solution

The third proportional to 342,933.75 and 462,601.13 is: 624,026.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,933.75 : 462,601.13 = 462,601.13 : x
  2. Step 2: Convert to fraction form
    342,933.75/462,601.13 = 462,601.13/x
  3. Step 3: Cross multiply
    342,933.75x = 462,601.13 × 462,601.13
  4. Step 4: Simplify right side
    342,933.75x = 213,999,800,851.27
  5. Step 5: Solve for x
    x = 213,999,800,851.27/342,933.75
  6. Step 6: Final answer
    x = 624,026.65

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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.