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Finding the Third Proportional to 204,259 and 474,653

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Solution

The third proportional to 204,259 and 474,653 is: 1,102,989.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,259 : 474,653 = 474,653 : x
  2. Step 2: Convert to fraction form
    204,259/474,653 = 474,653/x
  3. Step 3: Cross multiply
    204,259x = 474,653 × 474,653
  4. Step 4: Simplify right side
    204,259x = 225,295,470,409
  5. Step 5: Solve for x
    x = 225,295,470,409/204,259
  6. Step 6: Final answer
    x = 1,102,989.20

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.