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Finding the Third Proportional to 540,469.13 and 782,817.75

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Solution

The third proportional to 540,469.13 and 782,817.75 is: 1,133,836.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,469.13 : 782,817.75 = 782,817.75 : x
  2. Step 2: Convert to fraction form
    540,469.13/782,817.75 = 782,817.75/x
  3. Step 3: Cross multiply
    540,469.13x = 782,817.75 × 782,817.75
  4. Step 4: Simplify right side
    540,469.13x = 612,803,629,715.06
  5. Step 5: Solve for x
    x = 612,803,629,715.06/540,469.13
  6. Step 6: Final answer
    x = 1,133,836.52

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.