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Finding the Third Proportional to 580,233.38 and 1,275,339.94

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Solution

The third proportional to 580,233.38 and 1,275,339.94 is: 2,803,168.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,233.38 : 1,275,339.94 = 1,275,339.94 : x
  2. Step 2: Convert to fraction form
    580,233.38/1,275,339.94 = 1,275,339.94/x
  3. Step 3: Cross multiply
    580,233.38x = 1,275,339.94 × 1,275,339.94
  4. Step 4: Simplify right side
    580,233.38x = 1,626,491,956,182.50
  5. Step 5: Solve for x
    x = 1,626,491,956,182.50/580,233.38
  6. Step 6: Final answer
    x = 2,803,168.56

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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.