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Finding the Third Proportional to 428,388.50 and 940,838.50

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Solution

The third proportional to 428,388.50 and 940,838.50 is: 2,066,295.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,388.50 : 940,838.50 = 940,838.50 : x
  2. Step 2: Convert to fraction form
    428,388.50/940,838.50 = 940,838.50/x
  3. Step 3: Cross multiply
    428,388.50x = 940,838.50 × 940,838.50
  4. Step 4: Simplify right side
    428,388.50x = 885,177,083,082.25
  5. Step 5: Solve for x
    x = 885,177,083,082.25/428,388.50
  6. Step 6: Final answer
    x = 2,066,295.16

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.