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Finding the Third Proportional to 224,812.50 and 470,410

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Solution

The third proportional to 224,812.50 and 470,410 is: 984,311.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,812.50 : 470,410 = 470,410 : x
  2. Step 2: Convert to fraction form
    224,812.50/470,410 = 470,410/x
  3. Step 3: Cross multiply
    224,812.50x = 470,410 × 470,410
  4. Step 4: Simplify right side
    224,812.50x = 221,285,568,100
  5. Step 5: Solve for x
    x = 221,285,568,100/224,812.50
  6. Step 6: Final answer
    x = 984,311.67

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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.