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Finding the Third Proportional to 271,484 and 414,248

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Solution

The third proportional to 271,484 and 414,248 is: 632,086.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,484 : 414,248 = 414,248 : x
  2. Step 2: Convert to fraction form
    271,484/414,248 = 414,248/x
  3. Step 3: Cross multiply
    271,484x = 414,248 × 414,248
  4. Step 4: Simplify right side
    271,484x = 171,601,405,504
  5. Step 5: Solve for x
    x = 171,601,405,504/271,484
  6. Step 6: Final answer
    x = 632,086.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.