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Finding the Third Proportional to 202,656.38 and 440,987.63

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Solution

The third proportional to 202,656.38 and 440,987.63 is: 959,605.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,656.38 : 440,987.63 = 440,987.63 : x
  2. Step 2: Convert to fraction form
    202,656.38/440,987.63 = 440,987.63/x
  3. Step 3: Cross multiply
    202,656.38x = 440,987.63 × 440,987.63
  4. Step 4: Simplify right side
    202,656.38x = 194,470,085,403.14
  5. Step 5: Solve for x
    x = 194,470,085,403.14/202,656.38
  6. Step 6: Final answer
    x = 959,605.07

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.