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Finding the Third Proportional to 264,176 and 515,122

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Solution

The third proportional to 264,176 and 515,122 is: 1,004,446.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,176 : 515,122 = 515,122 : x
  2. Step 2: Convert to fraction form
    264,176/515,122 = 515,122/x
  3. Step 3: Cross multiply
    264,176x = 515,122 × 515,122
  4. Step 4: Simplify right side
    264,176x = 265,350,674,884
  5. Step 5: Solve for x
    x = 265,350,674,884/264,176
  6. Step 6: Final answer
    x = 1,004,446.56

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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.