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Finding the Third Proportional to 386,161 and 597,923

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Solution

The third proportional to 386,161 and 597,923 is: 925,810.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,161 : 597,923 = 597,923 : x
  2. Step 2: Convert to fraction form
    386,161/597,923 = 597,923/x
  3. Step 3: Cross multiply
    386,161x = 597,923 × 597,923
  4. Step 4: Simplify right side
    386,161x = 357,511,913,929
  5. Step 5: Solve for x
    x = 357,511,913,929/386,161
  6. Step 6: Final answer
    x = 925,810.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.