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Finding the Third Proportional to 241,714 and 518,408

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Solution

The third proportional to 241,714 and 518,408 is: 1,111,838.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,714 : 518,408 = 518,408 : x
  2. Step 2: Convert to fraction form
    241,714/518,408 = 518,408/x
  3. Step 3: Cross multiply
    241,714x = 518,408 × 518,408
  4. Step 4: Simplify right side
    241,714x = 268,746,854,464
  5. Step 5: Solve for x
    x = 268,746,854,464/241,714
  6. Step 6: Final answer
    x = 1,111,838.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.