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Finding the Third Proportional to 265,912 and 397,964

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Solution

The third proportional to 265,912 and 397,964 is: 595,593.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,912 : 397,964 = 397,964 : x
  2. Step 2: Convert to fraction form
    265,912/397,964 = 397,964/x
  3. Step 3: Cross multiply
    265,912x = 397,964 × 397,964
  4. Step 4: Simplify right side
    265,912x = 158,375,345,296
  5. Step 5: Solve for x
    x = 158,375,345,296/265,912
  6. Step 6: Final answer
    x = 595,593.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.