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Finding the Third Proportional to 342,930.50 and 462,596.25

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Solution

The third proportional to 342,930.50 and 462,596.25 is: 624,019.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,930.50 : 462,596.25 = 462,596.25 : x
  2. Step 2: Convert to fraction form
    342,930.50/462,596.25 = 462,596.25/x
  3. Step 3: Cross multiply
    342,930.50x = 462,596.25 × 462,596.25
  4. Step 4: Simplify right side
    342,930.50x = 213,995,290,514.06
  5. Step 5: Solve for x
    x = 213,995,290,514.06/342,930.50
  6. Step 6: Final answer
    x = 624,019.42

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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.