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Finding the Third Proportional to 428,253 and 666,904.50

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Solution

The third proportional to 428,253 and 666,904.50 is: 1,038,548.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,253 : 666,904.50 = 666,904.50 : x
  2. Step 2: Convert to fraction form
    428,253/666,904.50 = 666,904.50/x
  3. Step 3: Cross multiply
    428,253x = 666,904.50 × 666,904.50
  4. Step 4: Simplify right side
    428,253x = 444,761,612,120.25
  5. Step 5: Solve for x
    x = 444,761,612,120.25/428,253
  6. Step 6: Final answer
    x = 1,038,548.74

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.