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Finding the Third Proportional to 224,662 and 480,913

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Solution

The third proportional to 224,662 and 480,913 is: 1,029,445.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,662 : 480,913 = 480,913 : x
  2. Step 2: Convert to fraction form
    224,662/480,913 = 480,913/x
  3. Step 3: Cross multiply
    224,662x = 480,913 × 480,913
  4. Step 4: Simplify right side
    224,662x = 231,277,313,569
  5. Step 5: Solve for x
    x = 231,277,313,569/224,662
  6. Step 6: Final answer
    x = 1,029,445.63

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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.