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Finding the Third Proportional to 311,570 and 466,839

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Solution

The third proportional to 311,570 and 466,839 is: 699,485.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,570 : 466,839 = 466,839 : x
  2. Step 2: Convert to fraction form
    311,570/466,839 = 466,839/x
  3. Step 3: Cross multiply
    311,570x = 466,839 × 466,839
  4. Step 4: Simplify right side
    311,570x = 217,938,651,921
  5. Step 5: Solve for x
    x = 217,938,651,921/311,570
  6. Step 6: Final answer
    x = 699,485.35

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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.