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Finding the Third Proportional to 285,324.75 and 674,761.50

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Solution

The third proportional to 285,324.75 and 674,761.50 is: 1,595,736.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,324.75 : 674,761.50 = 674,761.50 : x
  2. Step 2: Convert to fraction form
    285,324.75/674,761.50 = 674,761.50/x
  3. Step 3: Cross multiply
    285,324.75x = 674,761.50 × 674,761.50
  4. Step 4: Simplify right side
    285,324.75x = 455,303,081,882.25
  5. Step 5: Solve for x
    x = 455,303,081,882.25/285,324.75
  6. Step 6: Final answer
    x = 1,595,736.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.