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Finding the Third Proportional to 428,865 and 628,969.50

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Solution

The third proportional to 428,865 and 628,969.50 is: 922,440.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,865 : 628,969.50 = 628,969.50 : x
  2. Step 2: Convert to fraction form
    428,865/628,969.50 = 628,969.50/x
  3. Step 3: Cross multiply
    428,865x = 628,969.50 × 628,969.50
  4. Step 4: Simplify right side
    428,865x = 395,602,631,930.25
  5. Step 5: Solve for x
    x = 395,602,631,930.25/428,865
  6. Step 6: Final answer
    x = 922,440.94

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