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Finding the Third Proportional to 347,251 and 704,161

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Solution

The third proportional to 347,251 and 704,161 is: 1,427,908.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,251 : 704,161 = 704,161 : x
  2. Step 2: Convert to fraction form
    347,251/704,161 = 704,161/x
  3. Step 3: Cross multiply
    347,251x = 704,161 × 704,161
  4. Step 4: Simplify right side
    347,251x = 495,842,713,921
  5. Step 5: Solve for x
    x = 495,842,713,921/347,251
  6. Step 6: Final answer
    x = 1,427,908.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.