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Finding the Third Proportional to 204,255 and 474,643.13

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Solution

The third proportional to 204,255 and 474,643.13 is: 1,102,964.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,255 : 474,643.13 = 474,643.13 : x
  2. Step 2: Convert to fraction form
    204,255/474,643.13 = 474,643.13/x
  3. Step 3: Cross multiply
    204,255x = 474,643.13 × 474,643.13
  4. Step 4: Simplify right side
    204,255x = 225,286,096,109.77
  5. Step 5: Solve for x
    x = 225,286,096,109.77/204,255
  6. Step 6: Final answer
    x = 1,102,964.90

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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.