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Finding the Third Proportional to 190,467 and 409,599

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Solution

The third proportional to 190,467 and 409,599 is: 880,842.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,467 : 409,599 = 409,599 : x
  2. Step 2: Convert to fraction form
    190,467/409,599 = 409,599/x
  3. Step 3: Cross multiply
    190,467x = 409,599 × 409,599
  4. Step 4: Simplify right side
    190,467x = 167,771,340,801
  5. Step 5: Solve for x
    x = 167,771,340,801/190,467
  6. Step 6: Final answer
    x = 880,842.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.