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Finding the Third Proportional to 190,806 and 414,417

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Solution

The third proportional to 190,806 and 414,417 is: 900,084.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,806 : 414,417 = 414,417 : x
  2. Step 2: Convert to fraction form
    190,806/414,417 = 414,417/x
  3. Step 3: Cross multiply
    190,806x = 414,417 × 414,417
  4. Step 4: Simplify right side
    190,806x = 171,741,449,889
  5. Step 5: Solve for x
    x = 171,741,449,889/190,806
  6. Step 6: Final answer
    x = 900,084.12

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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.