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Finding the Third Proportional to 224,644 and 488,655

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Solution

The third proportional to 224,644 and 488,655 is: 1,062,942.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,644 : 488,655 = 488,655 : x
  2. Step 2: Convert to fraction form
    224,644/488,655 = 488,655/x
  3. Step 3: Cross multiply
    224,644x = 488,655 × 488,655
  4. Step 4: Simplify right side
    224,644x = 238,783,709,025
  5. Step 5: Solve for x
    x = 238,783,709,025/224,644
  6. Step 6: Final answer
    x = 1,062,942.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.