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Finding the Third Proportional to 194,864 and 424,993

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Solution

The third proportional to 194,864 and 424,993 is: 926,897.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,864 : 424,993 = 424,993 : x
  2. Step 2: Convert to fraction form
    194,864/424,993 = 424,993/x
  3. Step 3: Cross multiply
    194,864x = 424,993 × 424,993
  4. Step 4: Simplify right side
    194,864x = 180,619,050,049
  5. Step 5: Solve for x
    x = 180,619,050,049/194,864
  6. Step 6: Final answer
    x = 926,897.99

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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.