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Finding the Third Proportional to 290,189 and 443,870

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Solution

The third proportional to 290,189 and 443,870 is: 678,938.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,189 : 443,870 = 443,870 : x
  2. Step 2: Convert to fraction form
    290,189/443,870 = 443,870/x
  3. Step 3: Cross multiply
    290,189x = 443,870 × 443,870
  4. Step 4: Simplify right side
    290,189x = 197,020,576,900
  5. Step 5: Solve for x
    x = 197,020,576,900/290,189
  6. Step 6: Final answer
    x = 678,938.82

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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.