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Finding the Third Proportional to 451,309.50 and 961,101

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Solution

The third proportional to 451,309.50 and 961,101 is: 2,046,744.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,309.50 : 961,101 = 961,101 : x
  2. Step 2: Convert to fraction form
    451,309.50/961,101 = 961,101/x
  3. Step 3: Cross multiply
    451,309.50x = 961,101 × 961,101
  4. Step 4: Simplify right side
    451,309.50x = 923,715,132,201
  5. Step 5: Solve for x
    x = 923,715,132,201/451,309.50
  6. Step 6: Final answer
    x = 2,046,744.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.