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Finding the Third Proportional to 265,904 and 397,952

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Solution

The third proportional to 265,904 and 397,952 is: 595,575.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,904 : 397,952 = 397,952 : x
  2. Step 2: Convert to fraction form
    265,904/397,952 = 397,952/x
  3. Step 3: Cross multiply
    265,904x = 397,952 × 397,952
  4. Step 4: Simplify right side
    265,904x = 158,365,794,304
  5. Step 5: Solve for x
    x = 158,365,794,304/265,904
  6. Step 6: Final answer
    x = 595,575.07

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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.