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Finding the Third Proportional to 262,620 and 416,895

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Solution

The third proportional to 262,620 and 416,895 is: 661,798.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,620 : 416,895 = 416,895 : x
  2. Step 2: Convert to fraction form
    262,620/416,895 = 416,895/x
  3. Step 3: Cross multiply
    262,620x = 416,895 × 416,895
  4. Step 4: Simplify right side
    262,620x = 173,801,441,025
  5. Step 5: Solve for x
    x = 173,801,441,025/262,620
  6. Step 6: Final answer
    x = 661,798.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.