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Finding the Third Proportional to 428,359.50 and 952,456.50

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Solution

The third proportional to 428,359.50 and 952,456.50 is: 2,117,785.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,359.50 : 952,456.50 = 952,456.50 : x
  2. Step 2: Convert to fraction form
    428,359.50/952,456.50 = 952,456.50/x
  3. Step 3: Cross multiply
    428,359.50x = 952,456.50 × 952,456.50
  4. Step 4: Simplify right side
    428,359.50x = 907,173,384,392.25
  5. Step 5: Solve for x
    x = 907,173,384,392.25/428,359.50
  6. Step 6: Final answer
    x = 2,117,785.14

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