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Finding the Third Proportional to 428,859 and 628,960.50

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Solution

The third proportional to 428,859 and 628,960.50 is: 922,427.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,859 : 628,960.50 = 628,960.50 : x
  2. Step 2: Convert to fraction form
    428,859/628,960.50 = 628,960.50/x
  3. Step 3: Cross multiply
    428,859x = 628,960.50 × 628,960.50
  4. Step 4: Simplify right side
    428,859x = 395,591,310,560.25
  5. Step 5: Solve for x
    x = 395,591,310,560.25/428,859
  6. Step 6: Final answer
    x = 922,427.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.