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Finding the Third Proportional to 281,444 and 414,723

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Solution

The third proportional to 281,444 and 414,723 is: 611,116.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,444 : 414,723 = 414,723 : x
  2. Step 2: Convert to fraction form
    281,444/414,723 = 414,723/x
  3. Step 3: Cross multiply
    281,444x = 414,723 × 414,723
  4. Step 4: Simplify right side
    281,444x = 171,995,166,729
  5. Step 5: Solve for x
    x = 171,995,166,729/281,444
  6. Step 6: Final answer
    x = 611,116.84

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Why These Related Problems?

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