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Finding the Third Proportional to 397,939.50 and 819,207

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Solution

The third proportional to 397,939.50 and 819,207 is: 1,686,437.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,939.50 : 819,207 = 819,207 : x
  2. Step 2: Convert to fraction form
    397,939.50/819,207 = 819,207/x
  3. Step 3: Cross multiply
    397,939.50x = 819,207 × 819,207
  4. Step 4: Simplify right side
    397,939.50x = 671,100,108,849
  5. Step 5: Solve for x
    x = 671,100,108,849/397,939.50
  6. Step 6: Final answer
    x = 1,686,437.53

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.