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Finding the Third Proportional to 321,414 and 475,560

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Solution

The third proportional to 321,414 and 475,560 is: 703,632.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,414 : 475,560 = 475,560 : x
  2. Step 2: Convert to fraction form
    321,414/475,560 = 475,560/x
  3. Step 3: Cross multiply
    321,414x = 475,560 × 475,560
  4. Step 4: Simplify right side
    321,414x = 226,157,313,600
  5. Step 5: Solve for x
    x = 226,157,313,600/321,414
  6. Step 6: Final answer
    x = 703,632.43

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.