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Finding the Third Proportional to 343,996.88 and 505,883.25

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Solution

The third proportional to 343,996.88 and 505,883.25 is: 743,954.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,996.88 : 505,883.25 = 505,883.25 : x
  2. Step 2: Convert to fraction form
    343,996.88/505,883.25 = 505,883.25/x
  3. Step 3: Cross multiply
    343,996.88x = 505,883.25 × 505,883.25
  4. Step 4: Simplify right side
    343,996.88x = 255,917,862,630.56
  5. Step 5: Solve for x
    x = 255,917,862,630.56/343,996.88
  6. Step 6: Final answer
    x = 743,954.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.