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Finding the Third Proportional to 214,920 and 461,560

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Solution

The third proportional to 214,920 and 461,560 is: 991,241.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,920 : 461,560 = 461,560 : x
  2. Step 2: Convert to fraction form
    214,920/461,560 = 461,560/x
  3. Step 3: Cross multiply
    214,920x = 461,560 × 461,560
  4. Step 4: Simplify right side
    214,920x = 213,037,633,600
  5. Step 5: Solve for x
    x = 213,037,633,600/214,920
  6. Step 6: Final answer
    x = 991,241.55

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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.