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Finding the Third Proportional to 650,271 and 863,059.50

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Solution

The third proportional to 650,271 and 863,059.50 is: 1,145,478.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,271 : 863,059.50 = 863,059.50 : x
  2. Step 2: Convert to fraction form
    650,271/863,059.50 = 863,059.50/x
  3. Step 3: Cross multiply
    650,271x = 863,059.50 × 863,059.50
  4. Step 4: Simplify right side
    650,271x = 744,871,700,540.25
  5. Step 5: Solve for x
    x = 744,871,700,540.25/650,271
  6. Step 6: Final answer
    x = 1,145,478.89

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.