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Finding the Third Proportional to 313,277.25 and 504,422.25

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Solution

The third proportional to 313,277.25 and 504,422.25 is: 812,193.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,277.25 : 504,422.25 = 504,422.25 : x
  2. Step 2: Convert to fraction form
    313,277.25/504,422.25 = 504,422.25/x
  3. Step 3: Cross multiply
    313,277.25x = 504,422.25 × 504,422.25
  4. Step 4: Simplify right side
    313,277.25x = 254,441,806,295.06
  5. Step 5: Solve for x
    x = 254,441,806,295.06/313,277.25
  6. Step 6: Final answer
    x = 812,193.69

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.