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Finding the Third Proportional to 448,496 and 674,634

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Solution

The third proportional to 448,496 and 674,634 is: 1,014,793.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,496 : 674,634 = 674,634 : x
  2. Step 2: Convert to fraction form
    448,496/674,634 = 674,634/x
  3. Step 3: Cross multiply
    448,496x = 674,634 × 674,634
  4. Step 4: Simplify right side
    448,496x = 455,131,033,956
  5. Step 5: Solve for x
    x = 455,131,033,956/448,496
  6. Step 6: Final answer
    x = 1,014,793.96

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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.