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Finding the Third Proportional to 325,177 and 500,444

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Solution

The third proportional to 325,177 and 500,444 is: 770,178.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,177 : 500,444 = 500,444 : x
  2. Step 2: Convert to fraction form
    325,177/500,444 = 500,444/x
  3. Step 3: Cross multiply
    325,177x = 500,444 × 500,444
  4. Step 4: Simplify right side
    325,177x = 250,444,197,136
  5. Step 5: Solve for x
    x = 250,444,197,136/325,177
  6. Step 6: Final answer
    x = 770,178.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.