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Finding the Third Proportional to 281,922.75 and 437,200.88

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Solution

The third proportional to 281,922.75 and 437,200.88 is: 678,003.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,922.75 : 437,200.88 = 437,200.88 : x
  2. Step 2: Convert to fraction form
    281,922.75/437,200.88 = 437,200.88/x
  3. Step 3: Cross multiply
    281,922.75x = 437,200.88 × 437,200.88
  4. Step 4: Simplify right side
    281,922.75x = 191,144,605,100.77
  5. Step 5: Solve for x
    x = 191,144,605,100.77/281,922.75
  6. Step 6: Final answer
    x = 678,003.48

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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.