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Finding the Third Proportional to 271,968 and 366,432

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Solution

The third proportional to 271,968 and 366,432 is: 493,706.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,968 : 366,432 = 366,432 : x
  2. Step 2: Convert to fraction form
    271,968/366,432 = 366,432/x
  3. Step 3: Cross multiply
    271,968x = 366,432 × 366,432
  4. Step 4: Simplify right side
    271,968x = 134,272,410,624
  5. Step 5: Solve for x
    x = 134,272,410,624/271,968
  6. Step 6: Final answer
    x = 493,706.65

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.