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Finding the Third Proportional to 219,756 and 472,632

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Solution

The third proportional to 219,756 and 472,632 is: 1,016,495.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,756 : 472,632 = 472,632 : x
  2. Step 2: Convert to fraction form
    219,756/472,632 = 472,632/x
  3. Step 3: Cross multiply
    219,756x = 472,632 × 472,632
  4. Step 4: Simplify right side
    219,756x = 223,381,007,424
  5. Step 5: Solve for x
    x = 223,381,007,424/219,756
  6. Step 6: Final answer
    x = 1,016,495.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.