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Finding the Third Proportional to 281,997 and 610,731

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Solution

The third proportional to 281,997 and 610,731 is: 1,322,681.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,997 : 610,731 = 610,731 : x
  2. Step 2: Convert to fraction form
    281,997/610,731 = 610,731/x
  3. Step 3: Cross multiply
    281,997x = 610,731 × 610,731
  4. Step 4: Simplify right side
    281,997x = 372,992,354,361
  5. Step 5: Solve for x
    x = 372,992,354,361/281,997
  6. Step 6: Final answer
    x = 1,322,681.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.