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Finding the Third Proportional to 428,613 and 587,745.50

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Solution

The third proportional to 428,613 and 587,745.50 is: 805,959.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,613 : 587,745.50 = 587,745.50 : x
  2. Step 2: Convert to fraction form
    428,613/587,745.50 = 587,745.50/x
  3. Step 3: Cross multiply
    428,613x = 587,745.50 × 587,745.50
  4. Step 4: Simplify right side
    428,613x = 345,444,772,770.25
  5. Step 5: Solve for x
    x = 345,444,772,770.25/428,613
  6. Step 6: Final answer
    x = 805,959.63

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.