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Finding the Third Proportional to 279,498 and 603,252

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Solution

The third proportional to 279,498 and 603,252 is: 1,302,023.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,498 : 603,252 = 603,252 : x
  2. Step 2: Convert to fraction form
    279,498/603,252 = 603,252/x
  3. Step 3: Cross multiply
    279,498x = 603,252 × 603,252
  4. Step 4: Simplify right side
    279,498x = 363,912,975,504
  5. Step 5: Solve for x
    x = 363,912,975,504/279,498
  6. Step 6: Final answer
    x = 1,302,023.54

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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.