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Finding the Third Proportional to 274,295 and 363,960

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Solution

The third proportional to 274,295 and 363,960 is: 482,935.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,295 : 363,960 = 363,960 : x
  2. Step 2: Convert to fraction form
    274,295/363,960 = 363,960/x
  3. Step 3: Cross multiply
    274,295x = 363,960 × 363,960
  4. Step 4: Simplify right side
    274,295x = 132,466,881,600
  5. Step 5: Solve for x
    x = 132,466,881,600/274,295
  6. Step 6: Final answer
    x = 482,935.82

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.