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Finding the Third Proportional to 281,540 and 414,843

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Solution

The third proportional to 281,540 and 414,843 is: 611,262.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,540 : 414,843 = 414,843 : x
  2. Step 2: Convert to fraction form
    281,540/414,843 = 414,843/x
  3. Step 3: Cross multiply
    281,540x = 414,843 × 414,843
  4. Step 4: Simplify right side
    281,540x = 172,094,714,649
  5. Step 5: Solve for x
    x = 172,094,714,649/281,540
  6. Step 6: Final answer
    x = 611,262.04

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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.