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Finding the Third Proportional to 196,437 and 418,633

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Solution

The third proportional to 196,437 and 418,633 is: 892,161.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,437 : 418,633 = 418,633 : x
  2. Step 2: Convert to fraction form
    196,437/418,633 = 418,633/x
  3. Step 3: Cross multiply
    196,437x = 418,633 × 418,633
  4. Step 4: Simplify right side
    196,437x = 175,253,588,689
  5. Step 5: Solve for x
    x = 175,253,588,689/196,437
  6. Step 6: Final answer
    x = 892,161.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.