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Finding the Third Proportional to 224,815 and 470,414

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Solution

The third proportional to 224,815 and 470,414 is: 984,317.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,815 : 470,414 = 470,414 : x
  2. Step 2: Convert to fraction form
    224,815/470,414 = 470,414/x
  3. Step 3: Cross multiply
    224,815x = 470,414 × 470,414
  4. Step 4: Simplify right side
    224,815x = 221,289,331,396
  5. Step 5: Solve for x
    x = 221,289,331,396/224,815
  6. Step 6: Final answer
    x = 984,317.47

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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.