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Finding the Third Proportional to 342,233 and 706,147

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Solution

The third proportional to 342,233 and 706,147 is: 1,457,029.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,233 : 706,147 = 706,147 : x
  2. Step 2: Convert to fraction form
    342,233/706,147 = 706,147/x
  3. Step 3: Cross multiply
    342,233x = 706,147 × 706,147
  4. Step 4: Simplify right side
    342,233x = 498,643,585,609
  5. Step 5: Solve for x
    x = 498,643,585,609/342,233
  6. Step 6: Final answer
    x = 1,457,029.53

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.