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Finding the Third Proportional to 451,469 and 599,322

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Solution

The third proportional to 451,469 and 599,322 is: 795,595.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,469 : 599,322 = 599,322 : x
  2. Step 2: Convert to fraction form
    451,469/599,322 = 599,322/x
  3. Step 3: Cross multiply
    451,469x = 599,322 × 599,322
  4. Step 4: Simplify right side
    451,469x = 359,186,859,684
  5. Step 5: Solve for x
    x = 359,186,859,684/451,469
  6. Step 6: Final answer
    x = 795,595.84

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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.