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Finding the Third Proportional to 194,838 and 418,810

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Solution

The third proportional to 194,838 and 418,810 is: 900,244.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,838 : 418,810 = 418,810 : x
  2. Step 2: Convert to fraction form
    194,838/418,810 = 418,810/x
  3. Step 3: Cross multiply
    194,838x = 418,810 × 418,810
  4. Step 4: Simplify right side
    194,838x = 175,401,816,100
  5. Step 5: Solve for x
    x = 175,401,816,100/194,838
  6. Step 6: Final answer
    x = 900,244.39

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