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Finding the Third Proportional to 190,047 and 412,950

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Solution

The third proportional to 190,047 and 412,950 is: 897,292.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,047 : 412,950 = 412,950 : x
  2. Step 2: Convert to fraction form
    190,047/412,950 = 412,950/x
  3. Step 3: Cross multiply
    190,047x = 412,950 × 412,950
  4. Step 4: Simplify right side
    190,047x = 170,527,702,500
  5. Step 5: Solve for x
    x = 170,527,702,500/190,047
  6. Step 6: Final answer
    x = 897,292.26

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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.