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Finding the Third Proportional to 190,802 and 414,406

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Solution

The third proportional to 190,802 and 414,406 is: 900,055.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,802 : 414,406 = 414,406 : x
  2. Step 2: Convert to fraction form
    190,802/414,406 = 414,406/x
  3. Step 3: Cross multiply
    190,802x = 414,406 × 414,406
  4. Step 4: Simplify right side
    190,802x = 171,732,332,836
  5. Step 5: Solve for x
    x = 171,732,332,836/190,802
  6. Step 6: Final answer
    x = 900,055.20

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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.