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Finding the Third Proportional to 248,482 and 545,777

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Solution

The third proportional to 248,482 and 545,777 is: 1,198,769.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,482 : 545,777 = 545,777 : x
  2. Step 2: Convert to fraction form
    248,482/545,777 = 545,777/x
  3. Step 3: Cross multiply
    248,482x = 545,777 × 545,777
  4. Step 4: Simplify right side
    248,482x = 297,872,533,729
  5. Step 5: Solve for x
    x = 297,872,533,729/248,482
  6. Step 6: Final answer
    x = 1,198,769.06

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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.