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Finding the Third Proportional to 404,210 and 673,643

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Solution

The third proportional to 404,210 and 673,643 is: 1,122,671.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,210 : 673,643 = 673,643 : x
  2. Step 2: Convert to fraction form
    404,210/673,643 = 673,643/x
  3. Step 3: Cross multiply
    404,210x = 673,643 × 673,643
  4. Step 4: Simplify right side
    404,210x = 453,794,891,449
  5. Step 5: Solve for x
    x = 453,794,891,449/404,210
  6. Step 6: Final answer
    x = 1,122,671.12

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.