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Finding the Third Proportional to 428,938.88 and 924,342.75

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Solution

The third proportional to 428,938.88 and 924,342.75 is: 1,991,914.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,938.88 : 924,342.75 = 924,342.75 : x
  2. Step 2: Convert to fraction form
    428,938.88/924,342.75 = 924,342.75/x
  3. Step 3: Cross multiply
    428,938.88x = 924,342.75 × 924,342.75
  4. Step 4: Simplify right side
    428,938.88x = 854,409,519,477.56
  5. Step 5: Solve for x
    x = 854,409,519,477.56/428,938.88
  6. Step 6: Final answer
    x = 1,991,914.39

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.