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Finding the Third Proportional to 345,398 and 814,190

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Solution

The third proportional to 345,398 and 814,190 is: 1,919,250.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,398 : 814,190 = 814,190 : x
  2. Step 2: Convert to fraction form
    345,398/814,190 = 814,190/x
  3. Step 3: Cross multiply
    345,398x = 814,190 × 814,190
  4. Step 4: Simplify right side
    345,398x = 662,905,356,100
  5. Step 5: Solve for x
    x = 662,905,356,100/345,398
  6. Step 6: Final answer
    x = 1,919,250.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.