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Finding the Third Proportional to 360,647 and 561,383

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Solution

The third proportional to 360,647 and 561,383 is: 873,848.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,647 : 561,383 = 561,383 : x
  2. Step 2: Convert to fraction form
    360,647/561,383 = 561,383/x
  3. Step 3: Cross multiply
    360,647x = 561,383 × 561,383
  4. Step 4: Simplify right side
    360,647x = 315,150,872,689
  5. Step 5: Solve for x
    x = 315,150,872,689/360,647
  6. Step 6: Final answer
    x = 873,848.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.