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Finding the Third Proportional to 194,841 and 417,717

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Solution

The third proportional to 194,841 and 417,717 is: 895,537.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,841 : 417,717 = 417,717 : x
  2. Step 2: Convert to fraction form
    194,841/417,717 = 417,717/x
  3. Step 3: Cross multiply
    194,841x = 417,717 × 417,717
  4. Step 4: Simplify right side
    194,841x = 174,487,492,089
  5. Step 5: Solve for x
    x = 174,487,492,089/194,841
  6. Step 6: Final answer
    x = 895,537.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.