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Finding the Third Proportional to 281,990 and 610,444

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Solution

The third proportional to 281,990 and 610,444 is: 1,321,471.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,990 : 610,444 = 610,444 : x
  2. Step 2: Convert to fraction form
    281,990/610,444 = 610,444/x
  3. Step 3: Cross multiply
    281,990x = 610,444 × 610,444
  4. Step 4: Simplify right side
    281,990x = 372,641,877,136
  5. Step 5: Solve for x
    x = 372,641,877,136/281,990
  6. Step 6: Final answer
    x = 1,321,471.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.