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Finding the Third Proportional to 204,852.38 and 447,066

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Solution

The third proportional to 204,852.38 and 447,066 is: 975,668.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,852.38 : 447,066 = 447,066 : x
  2. Step 2: Convert to fraction form
    204,852.38/447,066 = 447,066/x
  3. Step 3: Cross multiply
    204,852.38x = 447,066 × 447,066
  4. Step 4: Simplify right side
    204,852.38x = 199,868,008,356
  5. Step 5: Solve for x
    x = 199,868,008,356/204,852.38
  6. Step 6: Final answer
    x = 975,668.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.