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Finding the Third Proportional to 280,532 and 603,844

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Solution

The third proportional to 280,532 and 603,844 is: 1,299,771.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,532 : 603,844 = 603,844 : x
  2. Step 2: Convert to fraction form
    280,532/603,844 = 603,844/x
  3. Step 3: Cross multiply
    280,532x = 603,844 × 603,844
  4. Step 4: Simplify right side
    280,532x = 364,627,576,336
  5. Step 5: Solve for x
    x = 364,627,576,336/280,532
  6. Step 6: Final answer
    x = 1,299,771.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.