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Finding the Third Proportional to 248,476 and 545,765

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Solution

The third proportional to 248,476 and 545,765 is: 1,198,745.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,476 : 545,765 = 545,765 : x
  2. Step 2: Convert to fraction form
    248,476/545,765 = 545,765/x
  3. Step 3: Cross multiply
    248,476x = 545,765 × 545,765
  4. Step 4: Simplify right side
    248,476x = 297,859,435,225
  5. Step 5: Solve for x
    x = 297,859,435,225/248,476
  6. Step 6: Final answer
    x = 1,198,745.29

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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.