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Finding the Third Proportional to 224,812 and 470,408

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Solution

The third proportional to 224,812 and 470,408 is: 984,305.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,812 : 470,408 = 470,408 : x
  2. Step 2: Convert to fraction form
    224,812/470,408 = 470,408/x
  3. Step 3: Cross multiply
    224,812x = 470,408 × 470,408
  4. Step 4: Simplify right side
    224,812x = 221,283,686,464
  5. Step 5: Solve for x
    x = 221,283,686,464/224,812
  6. Step 6: Final answer
    x = 984,305.49

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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.