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Finding the Third Proportional to 200,646 and 473,625

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Solution

The third proportional to 200,646 and 473,625 is: 1,117,992.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,646 : 473,625 = 473,625 : x
  2. Step 2: Convert to fraction form
    200,646/473,625 = 473,625/x
  3. Step 3: Cross multiply
    200,646x = 473,625 × 473,625
  4. Step 4: Simplify right side
    200,646x = 224,320,640,625
  5. Step 5: Solve for x
    x = 224,320,640,625/200,646
  6. Step 6: Final answer
    x = 1,117,992.09

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.