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Finding the Third Proportional to 271,443 and 596,418

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Solution

The third proportional to 271,443 and 596,418 is: 1,310,457.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,443 : 596,418 = 596,418 : x
  2. Step 2: Convert to fraction form
    271,443/596,418 = 596,418/x
  3. Step 3: Cross multiply
    271,443x = 596,418 × 596,418
  4. Step 4: Simplify right side
    271,443x = 355,714,430,724
  5. Step 5: Solve for x
    x = 355,714,430,724/271,443
  6. Step 6: Final answer
    x = 1,310,457.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.