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Finding the Third Proportional to 214,577 and 332,436

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Solution

The third proportional to 214,577 and 332,436 is: 515,030.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,577 : 332,436 = 332,436 : x
  2. Step 2: Convert to fraction form
    214,577/332,436 = 332,436/x
  3. Step 3: Cross multiply
    214,577x = 332,436 × 332,436
  4. Step 4: Simplify right side
    214,577x = 110,513,694,096
  5. Step 5: Solve for x
    x = 110,513,694,096/214,577
  6. Step 6: Final answer
    x = 515,030.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.