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Finding the Third Proportional to 332,736 and 517,152

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Solution

The third proportional to 332,736 and 517,152 is: 803,778.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,736 : 517,152 = 517,152 : x
  2. Step 2: Convert to fraction form
    332,736/517,152 = 517,152/x
  3. Step 3: Cross multiply
    332,736x = 517,152 × 517,152
  4. Step 4: Simplify right side
    332,736x = 267,446,191,104
  5. Step 5: Solve for x
    x = 267,446,191,104/332,736
  6. Step 6: Final answer
    x = 803,778.95

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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.