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Finding the Third Proportional to 428,328 and 952,397.25

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Solution

The third proportional to 428,328 and 952,397.25 is: 2,117,677.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,328 : 952,397.25 = 952,397.25 : x
  2. Step 2: Convert to fraction form
    428,328/952,397.25 = 952,397.25/x
  3. Step 3: Cross multiply
    428,328x = 952,397.25 × 952,397.25
  4. Step 4: Simplify right side
    428,328x = 907,060,521,807.56
  5. Step 5: Solve for x
    x = 907,060,521,807.56/428,328
  6. Step 6: Final answer
    x = 2,117,677.39

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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.