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Finding the Third Proportional to 279,406 and 603,460

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Solution

The third proportional to 279,406 and 603,460 is: 1,303,350.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,406 : 603,460 = 603,460 : x
  2. Step 2: Convert to fraction form
    279,406/603,460 = 603,460/x
  3. Step 3: Cross multiply
    279,406x = 603,460 × 603,460
  4. Step 4: Simplify right side
    279,406x = 364,163,971,600
  5. Step 5: Solve for x
    x = 364,163,971,600/279,406
  6. Step 6: Final answer
    x = 1,303,350.58

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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.