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Finding the Third Proportional to 265,960 and 398,941

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Solution

The third proportional to 265,960 and 398,941 is: 598,413.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,960 : 398,941 = 398,941 : x
  2. Step 2: Convert to fraction form
    265,960/398,941 = 398,941/x
  3. Step 3: Cross multiply
    265,960x = 398,941 × 398,941
  4. Step 4: Simplify right side
    265,960x = 159,153,921,481
  5. Step 5: Solve for x
    x = 159,153,921,481/265,960
  6. Step 6: Final answer
    x = 598,413.00

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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.