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Finding the Third Proportional to 361,119.50 and 768,894.50

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Solution

The third proportional to 361,119.50 and 768,894.50 is: 1,637,127.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,119.50 : 768,894.50 = 768,894.50 : x
  2. Step 2: Convert to fraction form
    361,119.50/768,894.50 = 768,894.50/x
  3. Step 3: Cross multiply
    361,119.50x = 768,894.50 × 768,894.50
  4. Step 4: Simplify right side
    361,119.50x = 591,198,752,130.25
  5. Step 5: Solve for x
    x = 591,198,752,130.25/361,119.50
  6. Step 6: Final answer
    x = 1,637,127.74

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.