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Finding the Third Proportional to 275,607 and 413,406

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Solution

The third proportional to 275,607 and 413,406 is: 620,102.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,607 : 413,406 = 413,406 : x
  2. Step 2: Convert to fraction form
    275,607/413,406 = 413,406/x
  3. Step 3: Cross multiply
    275,607x = 413,406 × 413,406
  4. Step 4: Simplify right side
    275,607x = 170,904,520,836
  5. Step 5: Solve for x
    x = 170,904,520,836/275,607
  6. Step 6: Final answer
    x = 620,102.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.