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Finding the Third Proportional to 281,008 and 421,519

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Solution

The third proportional to 281,008 and 421,519 is: 632,289.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,008 : 421,519 = 421,519 : x
  2. Step 2: Convert to fraction form
    281,008/421,519 = 421,519/x
  3. Step 3: Cross multiply
    281,008x = 421,519 × 421,519
  4. Step 4: Simplify right side
    281,008x = 177,678,267,361
  5. Step 5: Solve for x
    x = 177,678,267,361/281,008
  6. Step 6: Final answer
    x = 632,289.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.