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Finding the Third Proportional to 281,910 and 614,714.25

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Solution

The third proportional to 281,910 and 614,714.25 is: 1,340,405.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,910 : 614,714.25 = 614,714.25 : x
  2. Step 2: Convert to fraction form
    281,910/614,714.25 = 614,714.25/x
  3. Step 3: Cross multiply
    281,910x = 614,714.25 × 614,714.25
  4. Step 4: Simplify right side
    281,910x = 377,873,609,153.06
  5. Step 5: Solve for x
    x = 377,873,609,153.06/281,910
  6. Step 6: Final answer
    x = 1,340,405.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.