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Finding the Third Proportional to 234,455 and 548,207

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Solution

The third proportional to 234,455 and 548,207 is: 1,281,827.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,455 : 548,207 = 548,207 : x
  2. Step 2: Convert to fraction form
    234,455/548,207 = 548,207/x
  3. Step 3: Cross multiply
    234,455x = 548,207 × 548,207
  4. Step 4: Simplify right side
    234,455x = 300,530,914,849
  5. Step 5: Solve for x
    x = 300,530,914,849/234,455
  6. Step 6: Final answer
    x = 1,281,827.71

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.