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Finding the Third Proportional to 228,919.50 and 553,827.38

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Solution

The third proportional to 228,919.50 and 553,827.38 is: 1,339,880.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,919.50 : 553,827.38 = 553,827.38 : x
  2. Step 2: Convert to fraction form
    228,919.50/553,827.38 = 553,827.38/x
  3. Step 3: Cross multiply
    228,919.50x = 553,827.38 × 553,827.38
  4. Step 4: Simplify right side
    228,919.50x = 306,724,761,299.39
  5. Step 5: Solve for x
    x = 306,724,761,299.39/228,919.50
  6. Step 6: Final answer
    x = 1,339,880.44

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.