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Finding the Third Proportional to 204,032 and 432,310

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Solution

The third proportional to 204,032 and 432,310 is: 915,993.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,032 : 432,310 = 432,310 : x
  2. Step 2: Convert to fraction form
    204,032/432,310 = 432,310/x
  3. Step 3: Cross multiply
    204,032x = 432,310 × 432,310
  4. Step 4: Simplify right side
    204,032x = 186,891,936,100
  5. Step 5: Solve for x
    x = 186,891,936,100/204,032
  6. Step 6: Final answer
    x = 915,993.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.