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Finding the Third Proportional to 443,616 and 961,969.50

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Solution

The third proportional to 443,616 and 961,969.50 is: 2,086,005.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,616 : 961,969.50 = 961,969.50 : x
  2. Step 2: Convert to fraction form
    443,616/961,969.50 = 961,969.50/x
  3. Step 3: Cross multiply
    443,616x = 961,969.50 × 961,969.50
  4. Step 4: Simplify right side
    443,616x = 925,385,318,930.25
  5. Step 5: Solve for x
    x = 925,385,318,930.25/443,616
  6. Step 6: Final answer
    x = 2,086,005.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.