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Finding the Third Proportional to 442,851.75 and 930,318.75

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Solution

The third proportional to 442,851.75 and 930,318.75 is: 1,954,362.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,851.75 : 930,318.75 = 930,318.75 : x
  2. Step 2: Convert to fraction form
    442,851.75/930,318.75 = 930,318.75/x
  3. Step 3: Cross multiply
    442,851.75x = 930,318.75 × 930,318.75
  4. Step 4: Simplify right side
    442,851.75x = 865,492,976,601.56
  5. Step 5: Solve for x
    x = 865,492,976,601.56/442,851.75
  6. Step 6: Final answer
    x = 1,954,362.78

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.