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Finding the Third Proportional to 264,180 and 515,124

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Solution

The third proportional to 264,180 and 515,124 is: 1,004,439.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,180 : 515,124 = 515,124 : x
  2. Step 2: Convert to fraction form
    264,180/515,124 = 515,124/x
  3. Step 3: Cross multiply
    264,180x = 515,124 × 515,124
  4. Step 4: Simplify right side
    264,180x = 265,352,735,376
  5. Step 5: Solve for x
    x = 265,352,735,376/264,180
  6. Step 6: Final answer
    x = 1,004,439.15

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.