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Finding the Third Proportional to 275,290.50 and 583,629.75

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Solution

The third proportional to 275,290.50 and 583,629.75 is: 1,237,324.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,290.50 : 583,629.75 = 583,629.75 : x
  2. Step 2: Convert to fraction form
    275,290.50/583,629.75 = 583,629.75/x
  3. Step 3: Cross multiply
    275,290.50x = 583,629.75 × 583,629.75
  4. Step 4: Simplify right side
    275,290.50x = 340,623,685,085.06
  5. Step 5: Solve for x
    x = 340,623,685,085.06/275,290.50
  6. Step 6: Final answer
    x = 1,237,324.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.