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Finding the Third Proportional to 259,176.75 and 405,684.75

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Solution

The third proportional to 259,176.75 and 405,684.75 is: 635,011.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,176.75 : 405,684.75 = 405,684.75 : x
  2. Step 2: Convert to fraction form
    259,176.75/405,684.75 = 405,684.75/x
  3. Step 3: Cross multiply
    259,176.75x = 405,684.75 × 405,684.75
  4. Step 4: Simplify right side
    259,176.75x = 164,580,116,382.56
  5. Step 5: Solve for x
    x = 164,580,116,382.56/259,176.75
  6. Step 6: Final answer
    x = 635,011.11

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.