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Finding the Third Proportional to 224,652 and 488,661

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Solution

The third proportional to 224,652 and 488,661 is: 1,062,930.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,652 : 488,661 = 488,661 : x
  2. Step 2: Convert to fraction form
    224,652/488,661 = 488,661/x
  3. Step 3: Cross multiply
    224,652x = 488,661 × 488,661
  4. Step 4: Simplify right side
    224,652x = 238,789,572,921
  5. Step 5: Solve for x
    x = 238,789,572,921/224,652
  6. Step 6: Final answer
    x = 1,062,930.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.