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Finding the Third Proportional to 279,494 and 603,262

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Solution

The third proportional to 279,494 and 603,262 is: 1,302,085.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,494 : 603,262 = 603,262 : x
  2. Step 2: Convert to fraction form
    279,494/603,262 = 603,262/x
  3. Step 3: Cross multiply
    279,494x = 603,262 × 603,262
  4. Step 4: Simplify right side
    279,494x = 363,925,040,644
  5. Step 5: Solve for x
    x = 363,925,040,644/279,494
  6. Step 6: Final answer
    x = 1,302,085.34

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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.