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Finding the Third Proportional to 348,500 and 755,500

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Solution

The third proportional to 348,500 and 755,500 is: 1,637,819.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,500 : 755,500 = 755,500 : x
  2. Step 2: Convert to fraction form
    348,500/755,500 = 755,500/x
  3. Step 3: Cross multiply
    348,500x = 755,500 × 755,500
  4. Step 4: Simplify right side
    348,500x = 570,780,250,000
  5. Step 5: Solve for x
    x = 570,780,250,000/348,500
  6. Step 6: Final answer
    x = 1,637,819.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.