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Finding the Third Proportional to 224,816 and 470,416

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Solution

The third proportional to 224,816 and 470,416 is: 984,321.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,816 : 470,416 = 470,416 : x
  2. Step 2: Convert to fraction form
    224,816/470,416 = 470,416/x
  3. Step 3: Cross multiply
    224,816x = 470,416 × 470,416
  4. Step 4: Simplify right side
    224,816x = 221,291,213,056
  5. Step 5: Solve for x
    x = 221,291,213,056/224,816
  6. Step 6: Final answer
    x = 984,321.46

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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.