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Finding the Third Proportional to 190,052 and 412,958

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Solution

The third proportional to 190,052 and 412,958 is: 897,303.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,052 : 412,958 = 412,958 : x
  2. Step 2: Convert to fraction form
    190,052/412,958 = 412,958/x
  3. Step 3: Cross multiply
    190,052x = 412,958 × 412,958
  4. Step 4: Simplify right side
    190,052x = 170,534,309,764
  5. Step 5: Solve for x
    x = 170,534,309,764/190,052
  6. Step 6: Final answer
    x = 897,303.42

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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.