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Finding the Third Proportional to 263,340 and 583,622

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Solution

The third proportional to 263,340 and 583,622 is: 1,293,440.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,340 : 583,622 = 583,622 : x
  2. Step 2: Convert to fraction form
    263,340/583,622 = 583,622/x
  3. Step 3: Cross multiply
    263,340x = 583,622 × 583,622
  4. Step 4: Simplify right side
    263,340x = 340,614,638,884
  5. Step 5: Solve for x
    x = 340,614,638,884/263,340
  6. Step 6: Final answer
    x = 1,293,440.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.