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Finding the Third Proportional to 311,658 and 672,522

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Solution

The third proportional to 311,658 and 672,522 is: 1,451,224.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,658 : 672,522 = 672,522 : x
  2. Step 2: Convert to fraction form
    311,658/672,522 = 672,522/x
  3. Step 3: Cross multiply
    311,658x = 672,522 × 672,522
  4. Step 4: Simplify right side
    311,658x = 452,285,840,484
  5. Step 5: Solve for x
    x = 452,285,840,484/311,658
  6. Step 6: Final answer
    x = 1,451,224.87

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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.