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Finding the Third Proportional to 382,578.75 and 837,874.50

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Solution

The third proportional to 382,578.75 and 837,874.50 is: 1,835,004.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,578.75 : 837,874.50 = 837,874.50 : x
  2. Step 2: Convert to fraction form
    382,578.75/837,874.50 = 837,874.50/x
  3. Step 3: Cross multiply
    382,578.75x = 837,874.50 × 837,874.50
  4. Step 4: Simplify right side
    382,578.75x = 702,033,677,750.25
  5. Step 5: Solve for x
    x = 702,033,677,750.25/382,578.75
  6. Step 6: Final answer
    x = 1,835,004.37

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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.