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Finding the Third Proportional to 264,124 and 550,132

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Solution

The third proportional to 264,124 and 550,132 is: 1,145,845.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,124 : 550,132 = 550,132 : x
  2. Step 2: Convert to fraction form
    264,124/550,132 = 550,132/x
  3. Step 3: Cross multiply
    264,124x = 550,132 × 550,132
  4. Step 4: Simplify right side
    264,124x = 302,645,217,424
  5. Step 5: Solve for x
    x = 302,645,217,424/264,124
  6. Step 6: Final answer
    x = 1,145,845.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.