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Finding the Third Proportional to 451,431 and 599,265

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Solution

The third proportional to 451,431 and 599,265 is: 795,511.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,431 : 599,265 = 599,265 : x
  2. Step 2: Convert to fraction form
    451,431/599,265 = 599,265/x
  3. Step 3: Cross multiply
    451,431x = 599,265 × 599,265
  4. Step 4: Simplify right side
    451,431x = 359,118,540,225
  5. Step 5: Solve for x
    x = 359,118,540,225/451,431
  6. Step 6: Final answer
    x = 795,511.47

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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.