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Finding the Third Proportional to 499,696 and 799,224

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Solution

The third proportional to 499,696 and 799,224 is: 1,278,295.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,696 : 799,224 = 799,224 : x
  2. Step 2: Convert to fraction form
    499,696/799,224 = 799,224/x
  3. Step 3: Cross multiply
    499,696x = 799,224 × 799,224
  4. Step 4: Simplify right side
    499,696x = 638,759,002,176
  5. Step 5: Solve for x
    x = 638,759,002,176/499,696
  6. Step 6: Final answer
    x = 1,278,295.21

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.