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Finding the Third Proportional to 200,488 and 433,232

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Solution

The third proportional to 200,488 and 433,232 is: 936,165.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,488 : 433,232 = 433,232 : x
  2. Step 2: Convert to fraction form
    200,488/433,232 = 433,232/x
  3. Step 3: Cross multiply
    200,488x = 433,232 × 433,232
  4. Step 4: Simplify right side
    200,488x = 187,689,965,824
  5. Step 5: Solve for x
    x = 187,689,965,824/200,488
  6. Step 6: Final answer
    x = 936,165.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.