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Finding the Third Proportional to 448,443 and 674,514

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Solution

The third proportional to 448,443 and 674,514 is: 1,014,552.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,443 : 674,514 = 674,514 : x
  2. Step 2: Convert to fraction form
    448,443/674,514 = 674,514/x
  3. Step 3: Cross multiply
    448,443x = 674,514 × 674,514
  4. Step 4: Simplify right side
    448,443x = 454,969,136,196
  5. Step 5: Solve for x
    x = 454,969,136,196/448,443
  6. Step 6: Final answer
    x = 1,014,552.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.