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Finding the Third Proportional to 190,397 and 413,568

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Solution

The third proportional to 190,397 and 413,568 is: 898,325.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,397 : 413,568 = 413,568 : x
  2. Step 2: Convert to fraction form
    190,397/413,568 = 413,568/x
  3. Step 3: Cross multiply
    190,397x = 413,568 × 413,568
  4. Step 4: Simplify right side
    190,397x = 171,038,490,624
  5. Step 5: Solve for x
    x = 171,038,490,624/190,397
  6. Step 6: Final answer
    x = 898,325.55

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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.