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Finding the Third Proportional to 342,774 and 738,168

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Solution

The third proportional to 342,774 and 738,168 is: 1,589,653.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,774 : 738,168 = 738,168 : x
  2. Step 2: Convert to fraction form
    342,774/738,168 = 738,168/x
  3. Step 3: Cross multiply
    342,774x = 738,168 × 738,168
  4. Step 4: Simplify right side
    342,774x = 544,891,996,224
  5. Step 5: Solve for x
    x = 544,891,996,224/342,774
  6. Step 6: Final answer
    x = 1,589,653.81

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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.