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Finding the Third Proportional to 275,296.50 and 606,469.50

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Solution

The third proportional to 275,296.50 and 606,469.50 is: 1,336,033.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,296.50 : 606,469.50 = 606,469.50 : x
  2. Step 2: Convert to fraction form
    275,296.50/606,469.50 = 606,469.50/x
  3. Step 3: Cross multiply
    275,296.50x = 606,469.50 × 606,469.50
  4. Step 4: Simplify right side
    275,296.50x = 367,805,254,430.25
  5. Step 5: Solve for x
    x = 367,805,254,430.25/275,296.50
  6. Step 6: Final answer
    x = 1,336,033.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.