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Finding the Third Proportional to 202,617 and 436,662

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Solution

The third proportional to 202,617 and 436,662 is: 941,054.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,617 : 436,662 = 436,662 : x
  2. Step 2: Convert to fraction form
    202,617/436,662 = 436,662/x
  3. Step 3: Cross multiply
    202,617x = 436,662 × 436,662
  4. Step 4: Simplify right side
    202,617x = 190,673,702,244
  5. Step 5: Solve for x
    x = 190,673,702,244/202,617
  6. Step 6: Final answer
    x = 941,054.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.