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Finding the Third Proportional to 492,965 and 793,661

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Solution

The third proportional to 492,965 and 793,661 is: 1,277,773.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,965 : 793,661 = 793,661 : x
  2. Step 2: Convert to fraction form
    492,965/793,661 = 793,661/x
  3. Step 3: Cross multiply
    492,965x = 793,661 × 793,661
  4. Step 4: Simplify right side
    492,965x = 629,897,782,921
  5. Step 5: Solve for x
    x = 629,897,782,921/492,965
  6. Step 6: Final answer
    x = 1,277,773.84

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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.