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Finding the Third Proportional to 275,456 and 425,638

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Solution

The third proportional to 275,456 and 425,638 is: 657,701.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,456 : 425,638 = 425,638 : x
  2. Step 2: Convert to fraction form
    275,456/425,638 = 425,638/x
  3. Step 3: Cross multiply
    275,456x = 425,638 × 425,638
  4. Step 4: Simplify right side
    275,456x = 181,167,707,044
  5. Step 5: Solve for x
    x = 181,167,707,044/275,456
  6. Step 6: Final answer
    x = 657,701.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.