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Finding the Third Proportional to 311,424 and 677,523

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Solution

The third proportional to 311,424 and 677,523 is: 1,473,994.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,424 : 677,523 = 677,523 : x
  2. Step 2: Convert to fraction form
    311,424/677,523 = 677,523/x
  3. Step 3: Cross multiply
    311,424x = 677,523 × 677,523
  4. Step 4: Simplify right side
    311,424x = 459,037,415,529
  5. Step 5: Solve for x
    x = 459,037,415,529/311,424
  6. Step 6: Final answer
    x = 1,473,994.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.