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Finding the Third Proportional to 286,026 and 629,364

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Solution

The third proportional to 286,026 and 629,364 is: 1,384,835.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,026 : 629,364 = 629,364 : x
  2. Step 2: Convert to fraction form
    286,026/629,364 = 629,364/x
  3. Step 3: Cross multiply
    286,026x = 629,364 × 629,364
  4. Step 4: Simplify right side
    286,026x = 396,099,044,496
  5. Step 5: Solve for x
    x = 396,099,044,496/286,026
  6. Step 6: Final answer
    x = 1,384,835.80

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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.