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Finding the Third Proportional to 271,924 and 413,169

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Solution

The third proportional to 271,924 and 413,169 is: 627,780.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,924 : 413,169 = 413,169 : x
  2. Step 2: Convert to fraction form
    271,924/413,169 = 413,169/x
  3. Step 3: Cross multiply
    271,924x = 413,169 × 413,169
  4. Step 4: Simplify right side
    271,924x = 170,708,622,561
  5. Step 5: Solve for x
    x = 170,708,622,561/271,924
  6. Step 6: Final answer
    x = 627,780.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.