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Finding the Third Proportional to 271,416 and 578,901

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Solution

The third proportional to 271,416 and 578,901 is: 1,234,733.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,416 : 578,901 = 578,901 : x
  2. Step 2: Convert to fraction form
    271,416/578,901 = 578,901/x
  3. Step 3: Cross multiply
    271,416x = 578,901 × 578,901
  4. Step 4: Simplify right side
    271,416x = 335,126,367,801
  5. Step 5: Solve for x
    x = 335,126,367,801/271,416
  6. Step 6: Final answer
    x = 1,234,733.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.