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Finding the Third Proportional to 397,948 and 819,223

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Solution

The third proportional to 397,948 and 819,223 is: 1,686,467.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,948 : 819,223 = 819,223 : x
  2. Step 2: Convert to fraction form
    397,948/819,223 = 819,223/x
  3. Step 3: Cross multiply
    397,948x = 819,223 × 819,223
  4. Step 4: Simplify right side
    397,948x = 671,126,323,729
  5. Step 5: Solve for x
    x = 671,126,323,729/397,948
  6. Step 6: Final answer
    x = 1,686,467.39

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Why These Related Problems?

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