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Finding the Third Proportional to 299,980.50 and 421,903.50

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Solution

The third proportional to 299,980.50 and 421,903.50 is: 593,380.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,980.50 : 421,903.50 = 421,903.50 : x
  2. Step 2: Convert to fraction form
    299,980.50/421,903.50 = 421,903.50/x
  3. Step 3: Cross multiply
    299,980.50x = 421,903.50 × 421,903.50
  4. Step 4: Simplify right side
    299,980.50x = 178,002,563,312.25
  5. Step 5: Solve for x
    x = 178,002,563,312.25/299,980.50
  6. Step 6: Final answer
    x = 593,380.45

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.