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Finding the Third Proportional to 285,271.88 and 441,485.44

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Solution

The third proportional to 285,271.88 and 441,485.44 is: 683,240.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,271.88 : 441,485.44 = 441,485.44 : x
  2. Step 2: Convert to fraction form
    285,271.88/441,485.44 = 441,485.44/x
  3. Step 3: Cross multiply
    285,271.88x = 441,485.44 × 441,485.44
  4. Step 4: Simplify right side
    285,271.88x = 194,909,391,524.57
  5. Step 5: Solve for x
    x = 194,909,391,524.57/285,271.88
  6. Step 6: Final answer
    x = 683,240.83

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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.