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Finding the Third Proportional to 447,104 and 686,208

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Solution

The third proportional to 447,104 and 686,208 is: 1,053,180.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,104 : 686,208 = 686,208 : x
  2. Step 2: Convert to fraction form
    447,104/686,208 = 686,208/x
  3. Step 3: Cross multiply
    447,104x = 686,208 × 686,208
  4. Step 4: Simplify right side
    447,104x = 470,881,419,264
  5. Step 5: Solve for x
    x = 470,881,419,264/447,104
  6. Step 6: Final answer
    x = 1,053,180.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.