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Finding the Third Proportional to 322,023 and 495,183

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Solution

The third proportional to 322,023 and 495,183 is: 761,455.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,023 : 495,183 = 495,183 : x
  2. Step 2: Convert to fraction form
    322,023/495,183 = 495,183/x
  3. Step 3: Cross multiply
    322,023x = 495,183 × 495,183
  4. Step 4: Simplify right side
    322,023x = 245,206,203,489
  5. Step 5: Solve for x
    x = 245,206,203,489/322,023
  6. Step 6: Final answer
    x = 761,455.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.