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Finding the Third Proportional to 190,780 and 414,368

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Solution

The third proportional to 190,780 and 414,368 is: 899,993.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,780 : 414,368 = 414,368 : x
  2. Step 2: Convert to fraction form
    190,780/414,368 = 414,368/x
  3. Step 3: Cross multiply
    190,780x = 414,368 × 414,368
  4. Step 4: Simplify right side
    190,780x = 171,700,839,424
  5. Step 5: Solve for x
    x = 171,700,839,424/190,780
  6. Step 6: Final answer
    x = 899,993.92

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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.