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Finding the Third Proportional to 211,696 and 456,632

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Solution

The third proportional to 211,696 and 456,632 is: 984,963.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,696 : 456,632 = 456,632 : x
  2. Step 2: Convert to fraction form
    211,696/456,632 = 456,632/x
  3. Step 3: Cross multiply
    211,696x = 456,632 × 456,632
  4. Step 4: Simplify right side
    211,696x = 208,512,783,424
  5. Step 5: Solve for x
    x = 208,512,783,424/211,696
  6. Step 6: Final answer
    x = 984,963.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.