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Finding the Third Proportional to 190,598.06 and 414,401.06

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Solution

The third proportional to 190,598.06 and 414,401.06 is: 900,996.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,598.06 : 414,401.06 = 414,401.06 : x
  2. Step 2: Convert to fraction form
    190,598.06/414,401.06 = 414,401.06/x
  3. Step 3: Cross multiply
    190,598.06x = 414,401.06 × 414,401.06
  4. Step 4: Simplify right side
    190,598.06x = 171,728,240,601.13
  5. Step 5: Solve for x
    x = 171,728,240,601.13/190,598.06
  6. Step 6: Final answer
    x = 900,996.78

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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.