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Finding the Third Proportional to 278,523 and 594,629

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Solution

The third proportional to 278,523 and 594,629 is: 1,269,495.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,523 : 594,629 = 594,629 : x
  2. Step 2: Convert to fraction form
    278,523/594,629 = 594,629/x
  3. Step 3: Cross multiply
    278,523x = 594,629 × 594,629
  4. Step 4: Simplify right side
    278,523x = 353,583,647,641
  5. Step 5: Solve for x
    x = 353,583,647,641/278,523
  6. Step 6: Final answer
    x = 1,269,495.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.