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Finding the Third Proportional to 214,735 and 485,144

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Solution

The third proportional to 214,735 and 485,144 is: 1,096,070.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,735 : 485,144 = 485,144 : x
  2. Step 2: Convert to fraction form
    214,735/485,144 = 485,144/x
  3. Step 3: Cross multiply
    214,735x = 485,144 × 485,144
  4. Step 4: Simplify right side
    214,735x = 235,364,700,736
  5. Step 5: Solve for x
    x = 235,364,700,736/214,735
  6. Step 6: Final answer
    x = 1,096,070.51

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.