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Finding the Third Proportional to 311,566 and 466,833

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Solution

The third proportional to 311,566 and 466,833 is: 699,476.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,566 : 466,833 = 466,833 : x
  2. Step 2: Convert to fraction form
    311,566/466,833 = 466,833/x
  3. Step 3: Cross multiply
    311,566x = 466,833 × 466,833
  4. Step 4: Simplify right side
    311,566x = 217,933,049,889
  5. Step 5: Solve for x
    x = 217,933,049,889/311,566
  6. Step 6: Final answer
    x = 699,476.35

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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.