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Finding the Third Proportional to 279,388 and 603,416

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Solution

The third proportional to 279,388 and 603,416 is: 1,303,244.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,388 : 603,416 = 603,416 : x
  2. Step 2: Convert to fraction form
    279,388/603,416 = 603,416/x
  3. Step 3: Cross multiply
    279,388x = 603,416 × 603,416
  4. Step 4: Simplify right side
    279,388x = 364,110,869,056
  5. Step 5: Solve for x
    x = 364,110,869,056/279,388
  6. Step 6: Final answer
    x = 1,303,244.48

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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.