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Finding the Third Proportional to 217,249 and 454,360

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Solution

The third proportional to 217,249 and 454,360 is: 950,259.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,249 : 454,360 = 454,360 : x
  2. Step 2: Convert to fraction form
    217,249/454,360 = 454,360/x
  3. Step 3: Cross multiply
    217,249x = 454,360 × 454,360
  4. Step 4: Simplify right side
    217,249x = 206,443,009,600
  5. Step 5: Solve for x
    x = 206,443,009,600/217,249
  6. Step 6: Final answer
    x = 950,259.88

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.