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Finding the Third Proportional to 442,361.25 and 942,664.50

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Solution

The third proportional to 442,361.25 and 942,664.50 is: 2,008,802.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,361.25 : 942,664.50 = 942,664.50 : x
  2. Step 2: Convert to fraction form
    442,361.25/942,664.50 = 942,664.50/x
  3. Step 3: Cross multiply
    442,361.25x = 942,664.50 × 942,664.50
  4. Step 4: Simplify right side
    442,361.25x = 888,616,359,560.25
  5. Step 5: Solve for x
    x = 888,616,359,560.25/442,361.25
  6. Step 6: Final answer
    x = 2,008,802.44

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Why These Related Problems?

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