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Finding the Third Proportional to 275,784 and 413,676

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Solution

The third proportional to 275,784 and 413,676 is: 620,514

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,784 : 413,676 = 413,676 : x
  2. Step 2: Convert to fraction form
    275,784/413,676 = 413,676/x
  3. Step 3: Cross multiply
    275,784x = 413,676 × 413,676
  4. Step 4: Simplify right side
    275,784x = 171,127,832,976
  5. Step 5: Solve for x
    x = 171,127,832,976/275,784
  6. Step 6: Final answer
    x = 620,514

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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.