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Finding the Third Proportional to 281,482.50 and 574,425

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Solution

The third proportional to 281,482.50 and 574,425 is: 1,172,236.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,482.50 : 574,425 = 574,425 : x
  2. Step 2: Convert to fraction form
    281,482.50/574,425 = 574,425/x
  3. Step 3: Cross multiply
    281,482.50x = 574,425 × 574,425
  4. Step 4: Simplify right side
    281,482.50x = 329,964,080,625
  5. Step 5: Solve for x
    x = 329,964,080,625/281,482.50
  6. Step 6: Final answer
    x = 1,172,236.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.