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Finding the Third Proportional to 432,166 and 683,766

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Solution

The third proportional to 432,166 and 683,766 is: 1,081,843.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,166 : 683,766 = 683,766 : x
  2. Step 2: Convert to fraction form
    432,166/683,766 = 683,766/x
  3. Step 3: Cross multiply
    432,166x = 683,766 × 683,766
  4. Step 4: Simplify right side
    432,166x = 467,535,942,756
  5. Step 5: Solve for x
    x = 467,535,942,756/432,166
  6. Step 6: Final answer
    x = 1,081,843.42

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.