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Finding the Third Proportional to 204,033 and 479,916.50

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Solution

The third proportional to 204,033 and 479,916.50 is: 1,128,836.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,033 : 479,916.50 = 479,916.50 : x
  2. Step 2: Convert to fraction form
    204,033/479,916.50 = 479,916.50/x
  3. Step 3: Cross multiply
    204,033x = 479,916.50 × 479,916.50
  4. Step 4: Simplify right side
    204,033x = 230,319,846,972.25
  5. Step 5: Solve for x
    x = 230,319,846,972.25/204,033
  6. Step 6: Final answer
    x = 1,128,836.25

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.