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Finding the Third Proportional to 275,337 and 583,767

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Solution

The third proportional to 275,337 and 583,767 is: 1,237,697.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,337 : 583,767 = 583,767 : x
  2. Step 2: Convert to fraction form
    275,337/583,767 = 583,767/x
  3. Step 3: Cross multiply
    275,337x = 583,767 × 583,767
  4. Step 4: Simplify right side
    275,337x = 340,783,910,289
  5. Step 5: Solve for x
    x = 340,783,910,289/275,337
  6. Step 6: Final answer
    x = 1,237,697.48

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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.