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Finding the Third Proportional to 541,759.50 and 840,028.50

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Solution

The third proportional to 541,759.50 and 840,028.50 is: 1,302,511.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,759.50 : 840,028.50 = 840,028.50 : x
  2. Step 2: Convert to fraction form
    541,759.50/840,028.50 = 840,028.50/x
  3. Step 3: Cross multiply
    541,759.50x = 840,028.50 × 840,028.50
  4. Step 4: Simplify right side
    541,759.50x = 705,647,880,812.25
  5. Step 5: Solve for x
    x = 705,647,880,812.25/541,759.50
  6. Step 6: Final answer
    x = 1,302,511.32

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Why These Related Problems?

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