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Finding the Third Proportional to 224,403.75 and 484,474.50

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Solution

The third proportional to 224,403.75 and 484,474.50 is: 1,045,951.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,403.75 : 484,474.50 = 484,474.50 : x
  2. Step 2: Convert to fraction form
    224,403.75/484,474.50 = 484,474.50/x
  3. Step 3: Cross multiply
    224,403.75x = 484,474.50 × 484,474.50
  4. Step 4: Simplify right side
    224,403.75x = 234,715,541,150.25
  5. Step 5: Solve for x
    x = 234,715,541,150.25/224,403.75
  6. Step 6: Final answer
    x = 1,045,951.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.