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Finding the Third Proportional to 451,929.80 and 599,777.79

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Solution

The third proportional to 451,929.80 and 599,777.79 is: 795,993.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,929.80 : 599,777.79 = 599,777.79 : x
  2. Step 2: Convert to fraction form
    451,929.80/599,777.79 = 599,777.79/x
  3. Step 3: Cross multiply
    451,929.80x = 599,777.79 × 599,777.79
  4. Step 4: Simplify right side
    451,929.80x = 359,733,396,252.70
  5. Step 5: Solve for x
    x = 359,733,396,252.70/451,929.80
  6. Step 6: Final answer
    x = 795,993.98

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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.