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Finding the Third Proportional to 224,939 and 470,524

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Solution

The third proportional to 224,939 and 470,524 is: 984,234.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,939 : 470,524 = 470,524 : x
  2. Step 2: Convert to fraction form
    224,939/470,524 = 470,524/x
  3. Step 3: Cross multiply
    224,939x = 470,524 × 470,524
  4. Step 4: Simplify right side
    224,939x = 221,392,834,576
  5. Step 5: Solve for x
    x = 221,392,834,576/224,939
  6. Step 6: Final answer
    x = 984,234.99

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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.