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Finding the Third Proportional to 200,600.44 and 437,184.84

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Solution

The third proportional to 200,600.44 and 437,184.84 is: 952,792.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,600.44 : 437,184.84 = 437,184.84 : x
  2. Step 2: Convert to fraction form
    200,600.44/437,184.84 = 437,184.84/x
  3. Step 3: Cross multiply
    200,600.44x = 437,184.84 × 437,184.84
  4. Step 4: Simplify right side
    200,600.44x = 191,130,587,604.71
  5. Step 5: Solve for x
    x = 191,130,587,604.71/200,600.44
  6. Step 6: Final answer
    x = 952,792.48

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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.