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Finding the Third Proportional to 384,243 and 834,930

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Solution

The third proportional to 384,243 and 834,930 is: 1,814,237.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,243 : 834,930 = 834,930 : x
  2. Step 2: Convert to fraction form
    384,243/834,930 = 834,930/x
  3. Step 3: Cross multiply
    384,243x = 834,930 × 834,930
  4. Step 4: Simplify right side
    384,243x = 697,108,104,900
  5. Step 5: Solve for x
    x = 697,108,104,900/384,243
  6. Step 6: Final answer
    x = 1,814,237.62

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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.