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Finding the Third Proportional to 194,717 and 420,574

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Solution

The third proportional to 194,717 and 420,574 is: 908,408.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,717 : 420,574 = 420,574 : x
  2. Step 2: Convert to fraction form
    194,717/420,574 = 420,574/x
  3. Step 3: Cross multiply
    194,717x = 420,574 × 420,574
  4. Step 4: Simplify right side
    194,717x = 176,882,489,476
  5. Step 5: Solve for x
    x = 176,882,489,476/194,717
  6. Step 6: Final answer
    x = 908,408.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.