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Finding the Third Proportional to 492,104 and 770,960

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Solution

The third proportional to 492,104 and 770,960 is: 1,207,832.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,104 : 770,960 = 770,960 : x
  2. Step 2: Convert to fraction form
    492,104/770,960 = 770,960/x
  3. Step 3: Cross multiply
    492,104x = 770,960 × 770,960
  4. Step 4: Simplify right side
    492,104x = 594,379,321,600
  5. Step 5: Solve for x
    x = 594,379,321,600/492,104
  6. Step 6: Final answer
    x = 1,207,832.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.