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Finding the Third Proportional to 301,083 and 454,176

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Solution

The third proportional to 301,083 and 454,176 is: 685,112.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,083 : 454,176 = 454,176 : x
  2. Step 2: Convert to fraction form
    301,083/454,176 = 454,176/x
  3. Step 3: Cross multiply
    301,083x = 454,176 × 454,176
  4. Step 4: Simplify right side
    301,083x = 206,275,838,976
  5. Step 5: Solve for x
    x = 206,275,838,976/301,083
  6. Step 6: Final answer
    x = 685,112.87

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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.