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Finding the Third Proportional to 222,881.63 and 486,384.75

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Solution

The third proportional to 222,881.63 and 486,384.75 is: 1,061,416.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,881.63 : 486,384.75 = 486,384.75 : x
  2. Step 2: Convert to fraction form
    222,881.63/486,384.75 = 486,384.75/x
  3. Step 3: Cross multiply
    222,881.63x = 486,384.75 × 486,384.75
  4. Step 4: Simplify right side
    222,881.63x = 236,570,125,032.56
  5. Step 5: Solve for x
    x = 236,570,125,032.56/222,881.63
  6. Step 6: Final answer
    x = 1,061,416.01

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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.