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Finding the Third Proportional to 204,426.75 and 477,502.50

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Solution

The third proportional to 204,426.75 and 477,502.50 is: 1,115,356.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,426.75 : 477,502.50 = 477,502.50 : x
  2. Step 2: Convert to fraction form
    204,426.75/477,502.50 = 477,502.50/x
  3. Step 3: Cross multiply
    204,426.75x = 477,502.50 × 477,502.50
  4. Step 4: Simplify right side
    204,426.75x = 228,008,637,506.25
  5. Step 5: Solve for x
    x = 228,008,637,506.25/204,426.75
  6. Step 6: Final answer
    x = 1,115,356.17

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.