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Finding the Third Proportional to 254,477 and 548,052

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Solution

The third proportional to 254,477 and 548,052 is: 1,180,307.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,477 : 548,052 = 548,052 : x
  2. Step 2: Convert to fraction form
    254,477/548,052 = 548,052/x
  3. Step 3: Cross multiply
    254,477x = 548,052 × 548,052
  4. Step 4: Simplify right side
    254,477x = 300,360,994,704
  5. Step 5: Solve for x
    x = 300,360,994,704/254,477
  6. Step 6: Final answer
    x = 1,180,307.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.