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Finding the Third Proportional to 199,325 and 436,024

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Solution

The third proportional to 199,325 and 436,024 is: 953,803.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,325 : 436,024 = 436,024 : x
  2. Step 2: Convert to fraction form
    199,325/436,024 = 436,024/x
  3. Step 3: Cross multiply
    199,325x = 436,024 × 436,024
  4. Step 4: Simplify right side
    199,325x = 190,116,928,576
  5. Step 5: Solve for x
    x = 190,116,928,576/199,325
  6. Step 6: Final answer
    x = 953,803.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.