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Finding the Third Proportional to 351,884 and 758,200

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Solution

The third proportional to 351,884 and 758,200 is: 1,633,683.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,884 : 758,200 = 758,200 : x
  2. Step 2: Convert to fraction form
    351,884/758,200 = 758,200/x
  3. Step 3: Cross multiply
    351,884x = 758,200 × 758,200
  4. Step 4: Simplify right side
    351,884x = 574,867,240,000
  5. Step 5: Solve for x
    x = 574,867,240,000/351,884
  6. Step 6: Final answer
    x = 1,633,683.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.