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Finding the Third Proportional to 454,512 and 673,018

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Solution

The third proportional to 454,512 and 673,018 is: 996,570.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,512 : 673,018 = 673,018 : x
  2. Step 2: Convert to fraction form
    454,512/673,018 = 673,018/x
  3. Step 3: Cross multiply
    454,512x = 673,018 × 673,018
  4. Step 4: Simplify right side
    454,512x = 452,953,228,324
  5. Step 5: Solve for x
    x = 452,953,228,324/454,512
  6. Step 6: Final answer
    x = 996,570.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.