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Finding the Third Proportional to 343,606 and 520,162

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Solution

The third proportional to 343,606 and 520,162 is: 787,438.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,606 : 520,162 = 520,162 : x
  2. Step 2: Convert to fraction form
    343,606/520,162 = 520,162/x
  3. Step 3: Cross multiply
    343,606x = 520,162 × 520,162
  4. Step 4: Simplify right side
    343,606x = 270,568,506,244
  5. Step 5: Solve for x
    x = 270,568,506,244/343,606
  6. Step 6: Final answer
    x = 787,438.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.