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Finding the Third Proportional to 204,062 and 432,826

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Solution

The third proportional to 204,062 and 432,826 is: 918,046.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,062 : 432,826 = 432,826 : x
  2. Step 2: Convert to fraction form
    204,062/432,826 = 432,826/x
  3. Step 3: Cross multiply
    204,062x = 432,826 × 432,826
  4. Step 4: Simplify right side
    204,062x = 187,338,346,276
  5. Step 5: Solve for x
    x = 187,338,346,276/204,062
  6. Step 6: Final answer
    x = 918,046.21

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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.