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Finding the Third Proportional to 250,611 and 383,854.50

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Solution

The third proportional to 250,611 and 383,854.50 is: 587,940.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,611 : 383,854.50 = 383,854.50 : x
  2. Step 2: Convert to fraction form
    250,611/383,854.50 = 383,854.50/x
  3. Step 3: Cross multiply
    250,611x = 383,854.50 × 383,854.50
  4. Step 4: Simplify right side
    250,611x = 147,344,277,170.25
  5. Step 5: Solve for x
    x = 147,344,277,170.25/250,611
  6. Step 6: Final answer
    x = 587,940.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.