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Finding the Third Proportional to 204,530.06 and 435,304.13

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Solution

The third proportional to 204,530.06 and 435,304.13 is: 926,463.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,530.06 : 435,304.13 = 435,304.13 : x
  2. Step 2: Convert to fraction form
    204,530.06/435,304.13 = 435,304.13/x
  3. Step 3: Cross multiply
    204,530.06x = 435,304.13 × 435,304.13
  4. Step 4: Simplify right side
    204,530.06x = 189,489,681,242.02
  5. Step 5: Solve for x
    x = 189,489,681,242.02/204,530.06
  6. Step 6: Final answer
    x = 926,463.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.