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Finding the Third Proportional to 311,556 and 677,784

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Solution

The third proportional to 311,556 and 677,784 is: 1,474,505.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,556 : 677,784 = 677,784 : x
  2. Step 2: Convert to fraction form
    311,556/677,784 = 677,784/x
  3. Step 3: Cross multiply
    311,556x = 677,784 × 677,784
  4. Step 4: Simplify right side
    311,556x = 459,391,150,656
  5. Step 5: Solve for x
    x = 459,391,150,656/311,556
  6. Step 6: Final answer
    x = 1,474,505.87

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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.