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Finding the Third Proportional to 447,619.50 and 961,497

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Solution

The third proportional to 447,619.50 and 961,497 is: 2,065,317.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,619.50 : 961,497 = 961,497 : x
  2. Step 2: Convert to fraction form
    447,619.50/961,497 = 961,497/x
  3. Step 3: Cross multiply
    447,619.50x = 961,497 × 961,497
  4. Step 4: Simplify right side
    447,619.50x = 924,476,481,009
  5. Step 5: Solve for x
    x = 924,476,481,009/447,619.50
  6. Step 6: Final answer
    x = 2,065,317.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.