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Finding the Third Proportional to 350,149 and 763,670

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Solution

The third proportional to 350,149 and 763,670 is: 1,665,553.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,149 : 763,670 = 763,670 : x
  2. Step 2: Convert to fraction form
    350,149/763,670 = 763,670/x
  3. Step 3: Cross multiply
    350,149x = 763,670 × 763,670
  4. Step 4: Simplify right side
    350,149x = 583,191,868,900
  5. Step 5: Solve for x
    x = 583,191,868,900/350,149
  6. Step 6: Final answer
    x = 1,665,553.43

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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.