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Finding the Third Proportional to 311,814 and 678,294

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Solution

The third proportional to 311,814 and 678,294 is: 1,475,503.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,814 : 678,294 = 678,294 : x
  2. Step 2: Convert to fraction form
    311,814/678,294 = 678,294/x
  3. Step 3: Cross multiply
    311,814x = 678,294 × 678,294
  4. Step 4: Simplify right side
    311,814x = 460,082,750,436
  5. Step 5: Solve for x
    x = 460,082,750,436/311,814
  6. Step 6: Final answer
    x = 1,475,503.83

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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.