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Finding the Third Proportional to 448,512 and 674,640

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Solution

The third proportional to 448,512 and 674,640 is: 1,014,775.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,512 : 674,640 = 674,640 : x
  2. Step 2: Convert to fraction form
    448,512/674,640 = 674,640/x
  3. Step 3: Cross multiply
    448,512x = 674,640 × 674,640
  4. Step 4: Simplify right side
    448,512x = 455,139,129,600
  5. Step 5: Solve for x
    x = 455,139,129,600/448,512
  6. Step 6: Final answer
    x = 1,014,775.81

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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.