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Finding the Third Proportional to 311,748 and 673,311

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Solution

The third proportional to 311,748 and 673,311 is: 1,454,212.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,748 : 673,311 = 673,311 : x
  2. Step 2: Convert to fraction form
    311,748/673,311 = 673,311/x
  3. Step 3: Cross multiply
    311,748x = 673,311 × 673,311
  4. Step 4: Simplify right side
    311,748x = 453,347,702,721
  5. Step 5: Solve for x
    x = 453,347,702,721/311,748
  6. Step 6: Final answer
    x = 1,454,212.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.