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Finding the Third Proportional to 342,808 and 738,232

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Solution

The third proportional to 342,808 and 738,232 is: 1,589,771.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,808 : 738,232 = 738,232 : x
  2. Step 2: Convert to fraction form
    342,808/738,232 = 738,232/x
  3. Step 3: Cross multiply
    342,808x = 738,232 × 738,232
  4. Step 4: Simplify right side
    342,808x = 544,986,485,824
  5. Step 5: Solve for x
    x = 544,986,485,824/342,808
  6. Step 6: Final answer
    x = 1,589,771.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.