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Finding the Third Proportional to 451,467 and 599,319

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Solution

The third proportional to 451,467 and 599,319 is: 795,591.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,467 : 599,319 = 599,319 : x
  2. Step 2: Convert to fraction form
    451,467/599,319 = 599,319/x
  3. Step 3: Cross multiply
    451,467x = 599,319 × 599,319
  4. Step 4: Simplify right side
    451,467x = 359,183,263,761
  5. Step 5: Solve for x
    x = 359,183,263,761/451,467
  6. Step 6: Final answer
    x = 795,591.40

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.