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Finding the Third Proportional to 233,993 and 505,347

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Solution

The third proportional to 233,993 and 505,347 is: 1,091,381.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,993 : 505,347 = 505,347 : x
  2. Step 2: Convert to fraction form
    233,993/505,347 = 505,347/x
  3. Step 3: Cross multiply
    233,993x = 505,347 × 505,347
  4. Step 4: Simplify right side
    233,993x = 255,375,590,409
  5. Step 5: Solve for x
    x = 255,375,590,409/233,993
  6. Step 6: Final answer
    x = 1,091,381.33

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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.