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Finding the Third Proportional to 338,881 and 451,789

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Solution

The third proportional to 338,881 and 451,789 is: 602,315.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,881 : 451,789 = 451,789 : x
  2. Step 2: Convert to fraction form
    338,881/451,789 = 451,789/x
  3. Step 3: Cross multiply
    338,881x = 451,789 × 451,789
  4. Step 4: Simplify right side
    338,881x = 204,113,300,521
  5. Step 5: Solve for x
    x = 204,113,300,521/338,881
  6. Step 6: Final answer
    x = 602,315.56

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.