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Finding the Third Proportional to 281,572 and 414,885

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Solution

The third proportional to 281,572 and 414,885 is: 611,316.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,572 : 414,885 = 414,885 : x
  2. Step 2: Convert to fraction form
    281,572/414,885 = 414,885/x
  3. Step 3: Cross multiply
    281,572x = 414,885 × 414,885
  4. Step 4: Simplify right side
    281,572x = 172,129,563,225
  5. Step 5: Solve for x
    x = 172,129,563,225/281,572
  6. Step 6: Final answer
    x = 611,316.34

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.