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Finding the Third Proportional to 280,494 and 612,388

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Solution

The third proportional to 280,494 and 612,388 is: 1,336,994.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,494 : 612,388 = 612,388 : x
  2. Step 2: Convert to fraction form
    280,494/612,388 = 612,388/x
  3. Step 3: Cross multiply
    280,494x = 612,388 × 612,388
  4. Step 4: Simplify right side
    280,494x = 375,019,062,544
  5. Step 5: Solve for x
    x = 375,019,062,544/280,494
  6. Step 6: Final answer
    x = 1,336,994.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.