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Finding the Third Proportional to 224,678 and 488,722

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Solution

The third proportional to 224,678 and 488,722 is: 1,063,073.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,678 : 488,722 = 488,722 : x
  2. Step 2: Convert to fraction form
    224,678/488,722 = 488,722/x
  3. Step 3: Cross multiply
    224,678x = 488,722 × 488,722
  4. Step 4: Simplify right side
    224,678x = 238,849,193,284
  5. Step 5: Solve for x
    x = 238,849,193,284/224,678
  6. Step 6: Final answer
    x = 1,063,073.35

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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.