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Finding the Third Proportional to 350,328 and 541,902

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Solution

The third proportional to 350,328 and 541,902 is: 838,236.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,328 : 541,902 = 541,902 : x
  2. Step 2: Convert to fraction form
    350,328/541,902 = 541,902/x
  3. Step 3: Cross multiply
    350,328x = 541,902 × 541,902
  4. Step 4: Simplify right side
    350,328x = 293,657,777,604
  5. Step 5: Solve for x
    x = 293,657,777,604/350,328
  6. Step 6: Final answer
    x = 838,236.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.