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Finding the Third Proportional to 316,300.50 and 682,422.75

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Solution

The third proportional to 316,300.50 and 682,422.75 is: 1,472,336.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,300.50 : 682,422.75 = 682,422.75 : x
  2. Step 2: Convert to fraction form
    316,300.50/682,422.75 = 682,422.75/x
  3. Step 3: Cross multiply
    316,300.50x = 682,422.75 × 682,422.75
  4. Step 4: Simplify right side
    316,300.50x = 465,700,809,717.56
  5. Step 5: Solve for x
    x = 465,700,809,717.56/316,300.50
  6. Step 6: Final answer
    x = 1,472,336.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.