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Finding the Third Proportional to 311,311 and 466,970

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Solution

The third proportional to 311,311 and 466,970 is: 700,460.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,311 : 466,970 = 466,970 : x
  2. Step 2: Convert to fraction form
    311,311/466,970 = 466,970/x
  3. Step 3: Cross multiply
    311,311x = 466,970 × 466,970
  4. Step 4: Simplify right side
    311,311x = 218,060,980,900
  5. Step 5: Solve for x
    x = 218,060,980,900/311,311
  6. Step 6: Final answer
    x = 700,460.25

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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.