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Finding the Third Proportional to 499,302 and 811,194

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Solution

The third proportional to 499,302 and 811,194 is: 1,317,911.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,302 : 811,194 = 811,194 : x
  2. Step 2: Convert to fraction form
    499,302/811,194 = 811,194/x
  3. Step 3: Cross multiply
    499,302x = 811,194 × 811,194
  4. Step 4: Simplify right side
    499,302x = 658,035,705,636
  5. Step 5: Solve for x
    x = 658,035,705,636/499,302
  6. Step 6: Final answer
    x = 1,317,911.22

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.