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Finding the Third Proportional to 271,860 and 632,070

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Solution

The third proportional to 271,860 and 632,070 is: 1,469,552.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,860 : 632,070 = 632,070 : x
  2. Step 2: Convert to fraction form
    271,860/632,070 = 632,070/x
  3. Step 3: Cross multiply
    271,860x = 632,070 × 632,070
  4. Step 4: Simplify right side
    271,860x = 399,512,484,900
  5. Step 5: Solve for x
    x = 399,512,484,900/271,860
  6. Step 6: Final answer
    x = 1,469,552.29

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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.