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Finding the Third Proportional to 190,239 and 449,898

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Solution

The third proportional to 190,239 and 449,898 is: 1,063,968.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,239 : 449,898 = 449,898 : x
  2. Step 2: Convert to fraction form
    190,239/449,898 = 449,898/x
  3. Step 3: Cross multiply
    190,239x = 449,898 × 449,898
  4. Step 4: Simplify right side
    190,239x = 202,408,210,404
  5. Step 5: Solve for x
    x = 202,408,210,404/190,239
  6. Step 6: Final answer
    x = 1,063,968.01

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.