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Finding the Third Proportional to 333,960 and 517,176

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Solution

The third proportional to 333,960 and 517,176 is: 800,907.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,960 : 517,176 = 517,176 : x
  2. Step 2: Convert to fraction form
    333,960/517,176 = 517,176/x
  3. Step 3: Cross multiply
    333,960x = 517,176 × 517,176
  4. Step 4: Simplify right side
    333,960x = 267,471,014,976
  5. Step 5: Solve for x
    x = 267,471,014,976/333,960
  6. Step 6: Final answer
    x = 800,907.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.