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Finding the Third Proportional to 224,661 and 480,911

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Solution

The third proportional to 224,661 and 480,911 is: 1,029,441.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,661 : 480,911 = 480,911 : x
  2. Step 2: Convert to fraction form
    224,661/480,911 = 480,911/x
  3. Step 3: Cross multiply
    224,661x = 480,911 × 480,911
  4. Step 4: Simplify right side
    224,661x = 231,275,389,921
  5. Step 5: Solve for x
    x = 231,275,389,921/224,661
  6. Step 6: Final answer
    x = 1,029,441.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.