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Finding the Third Proportional to 224,828 and 470,440

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Solution

The third proportional to 224,828 and 470,440 is: 984,369.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,828 : 470,440 = 470,440 : x
  2. Step 2: Convert to fraction form
    224,828/470,440 = 470,440/x
  3. Step 3: Cross multiply
    224,828x = 470,440 × 470,440
  4. Step 4: Simplify right side
    224,828x = 221,313,793,600
  5. Step 5: Solve for x
    x = 221,313,793,600/224,828
  6. Step 6: Final answer
    x = 984,369.36

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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.