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Finding the Third Proportional to 184,821 and 402,812

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Solution

The third proportional to 184,821 and 402,812 is: 877,917.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,821 : 402,812 = 402,812 : x
  2. Step 2: Convert to fraction form
    184,821/402,812 = 402,812/x
  3. Step 3: Cross multiply
    184,821x = 402,812 × 402,812
  4. Step 4: Simplify right side
    184,821x = 162,257,507,344
  5. Step 5: Solve for x
    x = 162,257,507,344/184,821
  6. Step 6: Final answer
    x = 877,917.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.