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Finding the Third Proportional to 438,588 and 960,936.75

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Solution

The third proportional to 438,588 and 960,936.75 is: 2,105,391.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,588 : 960,936.75 = 960,936.75 : x
  2. Step 2: Convert to fraction form
    438,588/960,936.75 = 960,936.75/x
  3. Step 3: Cross multiply
    438,588x = 960,936.75 × 960,936.75
  4. Step 4: Simplify right side
    438,588x = 923,399,437,500.56
  5. Step 5: Solve for x
    x = 923,399,437,500.56/438,588
  6. Step 6: Final answer
    x = 2,105,391.48

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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.