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Finding the Third Proportional to 200,512.48 and 445,856.06

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Solution

The third proportional to 200,512.48 and 445,856.06 is: 991,397.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,512.48 : 445,856.06 = 445,856.06 : x
  2. Step 2: Convert to fraction form
    200,512.48/445,856.06 = 445,856.06/x
  3. Step 3: Cross multiply
    200,512.48x = 445,856.06 × 445,856.06
  4. Step 4: Simplify right side
    200,512.48x = 198,787,628,468.00
  5. Step 5: Solve for x
    x = 198,787,628,468.00/200,512.48
  6. Step 6: Final answer
    x = 991,397.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.