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Finding the Third Proportional to 354,991.50 and 770,172

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Solution

The third proportional to 354,991.50 and 770,172 is: 1,670,927.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,991.50 : 770,172 = 770,172 : x
  2. Step 2: Convert to fraction form
    354,991.50/770,172 = 770,172/x
  3. Step 3: Cross multiply
    354,991.50x = 770,172 × 770,172
  4. Step 4: Simplify right side
    354,991.50x = 593,164,909,584
  5. Step 5: Solve for x
    x = 593,164,909,584/354,991.50
  6. Step 6: Final answer
    x = 1,670,927.08

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.