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Finding the Third Proportional to 382,428.75 and 833,124.75

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Solution

The third proportional to 382,428.75 and 833,124.75 is: 1,814,970.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,428.75 : 833,124.75 = 833,124.75 : x
  2. Step 2: Convert to fraction form
    382,428.75/833,124.75 = 833,124.75/x
  3. Step 3: Cross multiply
    382,428.75x = 833,124.75 × 833,124.75
  4. Step 4: Simplify right side
    382,428.75x = 694,096,849,062.56
  5. Step 5: Solve for x
    x = 694,096,849,062.56/382,428.75
  6. Step 6: Final answer
    x = 1,814,970.37

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.