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Finding the Third Proportional to 233,262 and 628,368.75

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Solution

The third proportional to 233,262 and 628,368.75 is: 1,692,720.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,262 : 628,368.75 = 628,368.75 : x
  2. Step 2: Convert to fraction form
    233,262/628,368.75 = 628,368.75/x
  3. Step 3: Cross multiply
    233,262x = 628,368.75 × 628,368.75
  4. Step 4: Simplify right side
    233,262x = 394,847,285,976.56
  5. Step 5: Solve for x
    x = 394,847,285,976.56/233,262
  6. Step 6: Final answer
    x = 1,692,720.14

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These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.