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Finding the Third Proportional to 278,811 and 432,328.50

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Solution

The third proportional to 278,811 and 432,328.50 is: 670,375.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,811 : 432,328.50 = 432,328.50 : x
  2. Step 2: Convert to fraction form
    278,811/432,328.50 = 432,328.50/x
  3. Step 3: Cross multiply
    278,811x = 432,328.50 × 432,328.50
  4. Step 4: Simplify right side
    278,811x = 186,907,931,912.25
  5. Step 5: Solve for x
    x = 186,907,931,912.25/278,811
  6. Step 6: Final answer
    x = 670,375.03

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.