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Finding the Third Proportional to 275,266.50 and 583,581.75

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Solution

The third proportional to 275,266.50 and 583,581.75 is: 1,237,228.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,266.50 : 583,581.75 = 583,581.75 : x
  2. Step 2: Convert to fraction form
    275,266.50/583,581.75 = 583,581.75/x
  3. Step 3: Cross multiply
    275,266.50x = 583,581.75 × 583,581.75
  4. Step 4: Simplify right side
    275,266.50x = 340,567,658,933.06
  5. Step 5: Solve for x
    x = 340,567,658,933.06/275,266.50
  6. Step 6: Final answer
    x = 1,237,228.86

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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.