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Finding the Third Proportional to 279,702 and 603,630

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Solution

The third proportional to 279,702 and 603,630 is: 1,302,704.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,702 : 603,630 = 603,630 : x
  2. Step 2: Convert to fraction form
    279,702/603,630 = 603,630/x
  3. Step 3: Cross multiply
    279,702x = 603,630 × 603,630
  4. Step 4: Simplify right side
    279,702x = 364,369,176,900
  5. Step 5: Solve for x
    x = 364,369,176,900/279,702
  6. Step 6: Final answer
    x = 1,302,704.94

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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.