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Finding the Third Proportional to 351,840 and 768,200

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Solution

The third proportional to 351,840 and 768,200 is: 1,677,271.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,840 : 768,200 = 768,200 : x
  2. Step 2: Convert to fraction form
    351,840/768,200 = 768,200/x
  3. Step 3: Cross multiply
    351,840x = 768,200 × 768,200
  4. Step 4: Simplify right side
    351,840x = 590,131,240,000
  5. Step 5: Solve for x
    x = 590,131,240,000/351,840
  6. Step 6: Final answer
    x = 1,677,271.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.