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Finding the Third Proportional to 311,042 and 466,475

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Solution

The third proportional to 311,042 and 466,475 is: 699,580.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,042 : 466,475 = 466,475 : x
  2. Step 2: Convert to fraction form
    311,042/466,475 = 466,475/x
  3. Step 3: Cross multiply
    311,042x = 466,475 × 466,475
  4. Step 4: Simplify right side
    311,042x = 217,598,925,625
  5. Step 5: Solve for x
    x = 217,598,925,625/311,042
  6. Step 6: Final answer
    x = 699,580.52

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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.