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Finding the Third Proportional to 342,800 and 738,216

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Solution

The third proportional to 342,800 and 738,216 is: 1,589,739.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,800 : 738,216 = 738,216 : x
  2. Step 2: Convert to fraction form
    342,800/738,216 = 738,216/x
  3. Step 3: Cross multiply
    342,800x = 738,216 × 738,216
  4. Step 4: Simplify right side
    342,800x = 544,962,862,656
  5. Step 5: Solve for x
    x = 544,962,862,656/342,800
  6. Step 6: Final answer
    x = 1,589,739.97

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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.