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Finding the Third Proportional to 216,734 and 463,512

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Solution

The third proportional to 216,734 and 463,512 is: 991,276.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,734 : 463,512 = 463,512 : x
  2. Step 2: Convert to fraction form
    216,734/463,512 = 463,512/x
  3. Step 3: Cross multiply
    216,734x = 463,512 × 463,512
  4. Step 4: Simplify right side
    216,734x = 214,843,374,144
  5. Step 5: Solve for x
    x = 214,843,374,144/216,734
  6. Step 6: Final answer
    x = 991,276.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.