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Finding the Third Proportional to 298,050.75 and 448,299

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Solution

The third proportional to 298,050.75 and 448,299 is: 674,287.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,050.75 : 448,299 = 448,299 : x
  2. Step 2: Convert to fraction form
    298,050.75/448,299 = 448,299/x
  3. Step 3: Cross multiply
    298,050.75x = 448,299 × 448,299
  4. Step 4: Simplify right side
    298,050.75x = 200,971,993,401
  5. Step 5: Solve for x
    x = 200,971,993,401/298,050.75
  6. Step 6: Final answer
    x = 674,287.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.