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Finding the Third Proportional to 367,828 and 562,434

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Solution

The third proportional to 367,828 and 562,434 is: 859,999.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,828 : 562,434 = 562,434 : x
  2. Step 2: Convert to fraction form
    367,828/562,434 = 562,434/x
  3. Step 3: Cross multiply
    367,828x = 562,434 × 562,434
  4. Step 4: Simplify right side
    367,828x = 316,332,004,356
  5. Step 5: Solve for x
    x = 316,332,004,356/367,828
  6. Step 6: Final answer
    x = 859,999.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.