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Finding the Third Proportional to 224,477 and 484,563

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Solution

The third proportional to 224,477 and 484,563 is: 1,045,992.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,477 : 484,563 = 484,563 : x
  2. Step 2: Convert to fraction form
    224,477/484,563 = 484,563/x
  3. Step 3: Cross multiply
    224,477x = 484,563 × 484,563
  4. Step 4: Simplify right side
    224,477x = 234,801,300,969
  5. Step 5: Solve for x
    x = 234,801,300,969/224,477
  6. Step 6: Final answer
    x = 1,045,992.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.