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Finding the Third Proportional to 445,076 and 683,166

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Solution

The third proportional to 445,076 and 683,166 is: 1,048,620.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,076 : 683,166 = 683,166 : x
  2. Step 2: Convert to fraction form
    445,076/683,166 = 683,166/x
  3. Step 3: Cross multiply
    445,076x = 683,166 × 683,166
  4. Step 4: Simplify right side
    445,076x = 466,715,783,556
  5. Step 5: Solve for x
    x = 466,715,783,556/445,076
  6. Step 6: Final answer
    x = 1,048,620.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.