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Finding the Third Proportional to 492,960 and 793,653

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Solution

The third proportional to 492,960 and 793,653 is: 1,277,761.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,960 : 793,653 = 793,653 : x
  2. Step 2: Convert to fraction form
    492,960/793,653 = 793,653/x
  3. Step 3: Cross multiply
    492,960x = 793,653 × 793,653
  4. Step 4: Simplify right side
    492,960x = 629,885,084,409
  5. Step 5: Solve for x
    x = 629,885,084,409/492,960
  6. Step 6: Final answer
    x = 1,277,761.04

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.