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Finding the Third Proportional to 217,224 and 454,298.63

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Solution

The third proportional to 217,224 and 454,298.63 is: 950,112.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,224 : 454,298.63 = 454,298.63 : x
  2. Step 2: Convert to fraction form
    217,224/454,298.63 = 454,298.63/x
  3. Step 3: Cross multiply
    217,224x = 454,298.63 × 454,298.63
  4. Step 4: Simplify right side
    217,224x = 206,387,240,676.89
  5. Step 5: Solve for x
    x = 206,387,240,676.89/217,224
  6. Step 6: Final answer
    x = 950,112.51

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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.