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Finding the Third Proportional to 224,484 and 488,245

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Solution

The third proportional to 224,484 and 488,245 is: 1,061,916.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,484 : 488,245 = 488,245 : x
  2. Step 2: Convert to fraction form
    224,484/488,245 = 488,245/x
  3. Step 3: Cross multiply
    224,484x = 488,245 × 488,245
  4. Step 4: Simplify right side
    224,484x = 238,383,180,025
  5. Step 5: Solve for x
    x = 238,383,180,025/224,484
  6. Step 6: Final answer
    x = 1,061,916.13

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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.