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Finding the Third Proportional to 275,503 and 425,722

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Solution

The third proportional to 275,503 and 425,722 is: 657,848.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,503 : 425,722 = 425,722 : x
  2. Step 2: Convert to fraction form
    275,503/425,722 = 425,722/x
  3. Step 3: Cross multiply
    275,503x = 425,722 × 425,722
  4. Step 4: Simplify right side
    275,503x = 181,239,221,284
  5. Step 5: Solve for x
    x = 181,239,221,284/275,503
  6. Step 6: Final answer
    x = 657,848.45

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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.