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Finding the Third Proportional to 350,092 and 763,544

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Solution

The third proportional to 350,092 and 763,544 is: 1,665,274.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,092 : 763,544 = 763,544 : x
  2. Step 2: Convert to fraction form
    350,092/763,544 = 763,544/x
  3. Step 3: Cross multiply
    350,092x = 763,544 × 763,544
  4. Step 4: Simplify right side
    350,092x = 582,999,439,936
  5. Step 5: Solve for x
    x = 582,999,439,936/350,092
  6. Step 6: Final answer
    x = 1,665,274.96

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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.