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Finding the Third Proportional to 428,868 and 628,972.50

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Solution

The third proportional to 428,868 and 628,972.50 is: 922,443.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,868 : 628,972.50 = 628,972.50 : x
  2. Step 2: Convert to fraction form
    428,868/628,972.50 = 628,972.50/x
  3. Step 3: Cross multiply
    428,868x = 628,972.50 × 628,972.50
  4. Step 4: Simplify right side
    428,868x = 395,606,405,756.25
  5. Step 5: Solve for x
    x = 395,606,405,756.25/428,868
  6. Step 6: Final answer
    x = 922,443.28

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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.