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Finding the Third Proportional to 439,933.50 and 963,927

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Solution

The third proportional to 439,933.50 and 963,927 is: 2,112,035.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,933.50 : 963,927 = 963,927 : x
  2. Step 2: Convert to fraction form
    439,933.50/963,927 = 963,927/x
  3. Step 3: Cross multiply
    439,933.50x = 963,927 × 963,927
  4. Step 4: Simplify right side
    439,933.50x = 929,155,261,329
  5. Step 5: Solve for x
    x = 929,155,261,329/439,933.50
  6. Step 6: Final answer
    x = 2,112,035.71

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.