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Finding the Third Proportional to 271,416 and 573,452

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Solution

The third proportional to 271,416 and 573,452 is: 1,211,598.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,416 : 573,452 = 573,452 : x
  2. Step 2: Convert to fraction form
    271,416/573,452 = 573,452/x
  3. Step 3: Cross multiply
    271,416x = 573,452 × 573,452
  4. Step 4: Simplify right side
    271,416x = 328,847,196,304
  5. Step 5: Solve for x
    x = 328,847,196,304/271,416
  6. Step 6: Final answer
    x = 1,211,598.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.