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Finding the Third Proportional to 313,275.75 and 504,420

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Solution

The third proportional to 313,275.75 and 504,420 is: 812,190.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,275.75 : 504,420 = 504,420 : x
  2. Step 2: Convert to fraction form
    313,275.75/504,420 = 504,420/x
  3. Step 3: Cross multiply
    313,275.75x = 504,420 × 504,420
  4. Step 4: Simplify right side
    313,275.75x = 254,439,536,400
  5. Step 5: Solve for x
    x = 254,439,536,400/313,275.75
  6. Step 6: Final answer
    x = 812,190.34

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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.