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Finding the Third Proportional to 272,905 and 414,866

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Solution

The third proportional to 272,905 and 414,866 is: 630,672.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,905 : 414,866 = 414,866 : x
  2. Step 2: Convert to fraction form
    272,905/414,866 = 414,866/x
  3. Step 3: Cross multiply
    272,905x = 414,866 × 414,866
  4. Step 4: Simplify right side
    272,905x = 172,113,797,956
  5. Step 5: Solve for x
    x = 172,113,797,956/272,905
  6. Step 6: Final answer
    x = 630,672.94

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