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Finding the Third Proportional to 265,736 and 397,875

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Solution

The third proportional to 265,736 and 397,875 is: 595,721.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,736 : 397,875 = 397,875 : x
  2. Step 2: Convert to fraction form
    265,736/397,875 = 397,875/x
  3. Step 3: Cross multiply
    265,736x = 397,875 × 397,875
  4. Step 4: Simplify right side
    265,736x = 158,304,515,625
  5. Step 5: Solve for x
    x = 158,304,515,625/265,736
  6. Step 6: Final answer
    x = 595,721.00

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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.