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Finding the Third Proportional to 224,777.25 and 470,333.25

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Solution

The third proportional to 224,777.25 and 470,333.25 is: 984,144.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,777.25 : 470,333.25 = 470,333.25 : x
  2. Step 2: Convert to fraction form
    224,777.25/470,333.25 = 470,333.25/x
  3. Step 3: Cross multiply
    224,777.25x = 470,333.25 × 470,333.25
  4. Step 4: Simplify right side
    224,777.25x = 221,213,366,055.56
  5. Step 5: Solve for x
    x = 221,213,366,055.56/224,777.25
  6. Step 6: Final answer
    x = 984,144.82

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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.