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Finding the Third Proportional to 190,302 and 414,507

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Solution

The third proportional to 190,302 and 414,507 is: 902,859.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,302 : 414,507 = 414,507 : x
  2. Step 2: Convert to fraction form
    190,302/414,507 = 414,507/x
  3. Step 3: Cross multiply
    190,302x = 414,507 × 414,507
  4. Step 4: Simplify right side
    190,302x = 171,816,053,049
  5. Step 5: Solve for x
    x = 171,816,053,049/190,302
  6. Step 6: Final answer
    x = 902,859.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.