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Finding the Third Proportional to 263,339 and 583,620

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Solution

The third proportional to 263,339 and 583,620 is: 1,293,436.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,339 : 583,620 = 583,620 : x
  2. Step 2: Convert to fraction form
    263,339/583,620 = 583,620/x
  3. Step 3: Cross multiply
    263,339x = 583,620 × 583,620
  4. Step 4: Simplify right side
    263,339x = 340,612,304,400
  5. Step 5: Solve for x
    x = 340,612,304,400/263,339
  6. Step 6: Final answer
    x = 1,293,436.61

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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.