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Finding the Third Proportional to 224,480.75 and 488,237.50

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Solution

The third proportional to 224,480.75 and 488,237.50 is: 1,061,898.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,480.75 : 488,237.50 = 488,237.50 : x
  2. Step 2: Convert to fraction form
    224,480.75/488,237.50 = 488,237.50/x
  3. Step 3: Cross multiply
    224,480.75x = 488,237.50 × 488,237.50
  4. Step 4: Simplify right side
    224,480.75x = 238,375,856,406.25
  5. Step 5: Solve for x
    x = 238,375,856,406.25/224,480.75
  6. Step 6: Final answer
    x = 1,061,898.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.