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Finding the Third Proportional to 361,229.75 and 562,527.75

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Solution

The third proportional to 361,229.75 and 562,527.75 is: 876,000.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,229.75 : 562,527.75 = 562,527.75 : x
  2. Step 2: Convert to fraction form
    361,229.75/562,527.75 = 562,527.75/x
  3. Step 3: Cross multiply
    361,229.75x = 562,527.75 × 562,527.75
  4. Step 4: Simplify right side
    361,229.75x = 316,437,469,520.06
  5. Step 5: Solve for x
    x = 316,437,469,520.06/361,229.75
  6. Step 6: Final answer
    x = 876,000.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.