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Finding the Third Proportional to 305,197 and 665,055

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Solution

The third proportional to 305,197 and 665,055 is: 1,449,221.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,197 : 665,055 = 665,055 : x
  2. Step 2: Convert to fraction form
    305,197/665,055 = 665,055/x
  3. Step 3: Cross multiply
    305,197x = 665,055 × 665,055
  4. Step 4: Simplify right side
    305,197x = 442,298,153,025
  5. Step 5: Solve for x
    x = 442,298,153,025/305,197
  6. Step 6: Final answer
    x = 1,449,221.82

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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.