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Finding the Third Proportional to 279,512 and 603,284

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Solution

The third proportional to 279,512 and 603,284 is: 1,302,096.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,512 : 603,284 = 603,284 : x
  2. Step 2: Convert to fraction form
    279,512/603,284 = 603,284/x
  3. Step 3: Cross multiply
    279,512x = 603,284 × 603,284
  4. Step 4: Simplify right side
    279,512x = 363,951,584,656
  5. Step 5: Solve for x
    x = 363,951,584,656/279,512
  6. Step 6: Final answer
    x = 1,302,096.46

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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.