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Finding the Third Proportional to 341,568 and 513,450

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Solution

The third proportional to 341,568 and 513,450 is: 771,825.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,568 : 513,450 = 513,450 : x
  2. Step 2: Convert to fraction form
    341,568/513,450 = 513,450/x
  3. Step 3: Cross multiply
    341,568x = 513,450 × 513,450
  4. Step 4: Simplify right side
    341,568x = 263,630,902,500
  5. Step 5: Solve for x
    x = 263,630,902,500/341,568
  6. Step 6: Final answer
    x = 771,825.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.