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Finding the Third Proportional to 190,024 and 412,903

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Solution

The third proportional to 190,024 and 412,903 is: 897,196.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,024 : 412,903 = 412,903 : x
  2. Step 2: Convert to fraction form
    190,024/412,903 = 412,903/x
  3. Step 3: Cross multiply
    190,024x = 412,903 × 412,903
  4. Step 4: Simplify right side
    190,024x = 170,488,887,409
  5. Step 5: Solve for x
    x = 170,488,887,409/190,024
  6. Step 6: Final answer
    x = 897,196.60

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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.