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Finding the Third Proportional to 271,406 and 375,033

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Solution

The third proportional to 271,406 and 375,033 is: 518,226.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,406 : 375,033 = 375,033 : x
  2. Step 2: Convert to fraction form
    271,406/375,033 = 375,033/x
  3. Step 3: Cross multiply
    271,406x = 375,033 × 375,033
  4. Step 4: Simplify right side
    271,406x = 140,649,751,089
  5. Step 5: Solve for x
    x = 140,649,751,089/271,406
  6. Step 6: Final answer
    x = 518,226.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.