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Finding the Third Proportional to 200,232 and 433,512

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Solution

The third proportional to 200,232 and 433,512 is: 938,574.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,232 : 433,512 = 433,512 : x
  2. Step 2: Convert to fraction form
    200,232/433,512 = 433,512/x
  3. Step 3: Cross multiply
    200,232x = 433,512 × 433,512
  4. Step 4: Simplify right side
    200,232x = 187,932,654,144
  5. Step 5: Solve for x
    x = 187,932,654,144/200,232
  6. Step 6: Final answer
    x = 938,574.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.