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Finding the Third Proportional to 173,783 and 406,010.75

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Solution

The third proportional to 173,783 and 406,010.75 is: 948,566.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,783 : 406,010.75 = 406,010.75 : x
  2. Step 2: Convert to fraction form
    173,783/406,010.75 = 406,010.75/x
  3. Step 3: Cross multiply
    173,783x = 406,010.75 × 406,010.75
  4. Step 4: Simplify right side
    173,783x = 164,844,729,115.56
  5. Step 5: Solve for x
    x = 164,844,729,115.56/173,783
  6. Step 6: Final answer
    x = 948,566.48

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.