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Finding the Third Proportional to 329,216 and 481,278

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Solution

The third proportional to 329,216 and 481,278 is: 703,576.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,216 : 481,278 = 481,278 : x
  2. Step 2: Convert to fraction form
    329,216/481,278 = 481,278/x
  3. Step 3: Cross multiply
    329,216x = 481,278 × 481,278
  4. Step 4: Simplify right side
    329,216x = 231,628,513,284
  5. Step 5: Solve for x
    x = 231,628,513,284/329,216
  6. Step 6: Final answer
    x = 703,576.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.