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Finding the Third Proportional to 350,628 and 768,000

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Solution

The third proportional to 350,628 and 768,000 is: 1,682,193.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,628 : 768,000 = 768,000 : x
  2. Step 2: Convert to fraction form
    350,628/768,000 = 768,000/x
  3. Step 3: Cross multiply
    350,628x = 768,000 × 768,000
  4. Step 4: Simplify right side
    350,628x = 589,824,000,000
  5. Step 5: Solve for x
    x = 589,824,000,000/350,628
  6. Step 6: Final answer
    x = 1,682,193.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.