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Finding the Third Proportional to 325,546 and 504,013

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Solution

The third proportional to 325,546 and 504,013 is: 780,317.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,546 : 504,013 = 504,013 : x
  2. Step 2: Convert to fraction form
    325,546/504,013 = 504,013/x
  3. Step 3: Cross multiply
    325,546x = 504,013 × 504,013
  4. Step 4: Simplify right side
    325,546x = 254,029,104,169
  5. Step 5: Solve for x
    x = 254,029,104,169/325,546
  6. Step 6: Final answer
    x = 780,317.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.