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Finding the Third Proportional to 500,823 and 751,234.50

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Solution

The third proportional to 500,823 and 751,234.50 is: 1,126,851.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,823 : 751,234.50 = 751,234.50 : x
  2. Step 2: Convert to fraction form
    500,823/751,234.50 = 751,234.50/x
  3. Step 3: Cross multiply
    500,823x = 751,234.50 × 751,234.50
  4. Step 4: Simplify right side
    500,823x = 564,353,273,990.25
  5. Step 5: Solve for x
    x = 564,353,273,990.25/500,823
  6. Step 6: Final answer
    x = 1,126,851.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.