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Finding the Third Proportional to 275,508 and 417,420

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Solution

The third proportional to 275,508 and 417,420 is: 632,429.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,508 : 417,420 = 417,420 : x
  2. Step 2: Convert to fraction form
    275,508/417,420 = 417,420/x
  3. Step 3: Cross multiply
    275,508x = 417,420 × 417,420
  4. Step 4: Simplify right side
    275,508x = 174,239,456,400
  5. Step 5: Solve for x
    x = 174,239,456,400/275,508
  6. Step 6: Final answer
    x = 632,429.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.