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Finding the Third Proportional to 311,533 and 466,774

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Solution

The third proportional to 311,533 and 466,774 is: 699,373.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,533 : 466,774 = 466,774 : x
  2. Step 2: Convert to fraction form
    311,533/466,774 = 466,774/x
  3. Step 3: Cross multiply
    311,533x = 466,774 × 466,774
  4. Step 4: Simplify right side
    311,533x = 217,877,967,076
  5. Step 5: Solve for x
    x = 217,877,967,076/311,533
  6. Step 6: Final answer
    x = 699,373.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.