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Finding the Third Proportional to 275,217 and 421,030

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Solution

The third proportional to 275,217 and 421,030 is: 644,096.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,217 : 421,030 = 421,030 : x
  2. Step 2: Convert to fraction form
    275,217/421,030 = 421,030/x
  3. Step 3: Cross multiply
    275,217x = 421,030 × 421,030
  4. Step 4: Simplify right side
    275,217x = 177,266,260,900
  5. Step 5: Solve for x
    x = 177,266,260,900/275,217
  6. Step 6: Final answer
    x = 644,096.33

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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.