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Finding the Third Proportional to 397,700 and 863,152

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Solution

The third proportional to 397,700 and 863,152 is: 1,873,350.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,700 : 863,152 = 863,152 : x
  2. Step 2: Convert to fraction form
    397,700/863,152 = 863,152/x
  3. Step 3: Cross multiply
    397,700x = 863,152 × 863,152
  4. Step 4: Simplify right side
    397,700x = 745,031,375,104
  5. Step 5: Solve for x
    x = 745,031,375,104/397,700
  6. Step 6: Final answer
    x = 1,873,350.20

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.