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Finding the Third Proportional to 218,672.37 and 454,802.34

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Solution

The third proportional to 218,672.37 and 454,802.34 is: 945,913.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,672.37 : 454,802.34 = 454,802.34 : x
  2. Step 2: Convert to fraction form
    218,672.37/454,802.34 = 454,802.34/x
  3. Step 3: Cross multiply
    218,672.37x = 454,802.34 × 454,802.34
  4. Step 4: Simplify right side
    218,672.37x = 206,845,171,880.49
  5. Step 5: Solve for x
    x = 206,845,171,880.49/218,672.37
  6. Step 6: Final answer
    x = 945,913.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.