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Finding the Third Proportional to 271,862 and 632,068

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Solution

The third proportional to 271,862 and 632,068 is: 1,469,532.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,862 : 632,068 = 632,068 : x
  2. Step 2: Convert to fraction form
    271,862/632,068 = 632,068/x
  3. Step 3: Cross multiply
    271,862x = 632,068 × 632,068
  4. Step 4: Simplify right side
    271,862x = 399,509,956,624
  5. Step 5: Solve for x
    x = 399,509,956,624/271,862
  6. Step 6: Final answer
    x = 1,469,532.18

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.