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Finding the Third Proportional to 173,787 and 405,986

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Solution

The third proportional to 173,787 and 405,986 is: 948,429.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,787 : 405,986 = 405,986 : x
  2. Step 2: Convert to fraction form
    173,787/405,986 = 405,986/x
  3. Step 3: Cross multiply
    173,787x = 405,986 × 405,986
  4. Step 4: Simplify right side
    173,787x = 164,824,632,196
  5. Step 5: Solve for x
    x = 164,824,632,196/173,787
  6. Step 6: Final answer
    x = 948,429.01

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Why These Related Problems?

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