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Finding the Third Proportional to 193,618 and 419,412

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Solution

The third proportional to 193,618 and 419,412 is: 908,523.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,618 : 419,412 = 419,412 : x
  2. Step 2: Convert to fraction form
    193,618/419,412 = 419,412/x
  3. Step 3: Cross multiply
    193,618x = 419,412 × 419,412
  4. Step 4: Simplify right side
    193,618x = 175,906,425,744
  5. Step 5: Solve for x
    x = 175,906,425,744/193,618
  6. Step 6: Final answer
    x = 908,523.10

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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.