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Finding the Third Proportional to 481,410 and 673,007

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Solution

The third proportional to 481,410 and 673,007 is: 940,857.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,410 : 673,007 = 673,007 : x
  2. Step 2: Convert to fraction form
    481,410/673,007 = 673,007/x
  3. Step 3: Cross multiply
    481,410x = 673,007 × 673,007
  4. Step 4: Simplify right side
    481,410x = 452,938,422,049
  5. Step 5: Solve for x
    x = 452,938,422,049/481,410
  6. Step 6: Final answer
    x = 940,857.94

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.