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Finding the Third Proportional to 540,299.50 and 1,175,735

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Solution

The third proportional to 540,299.50 and 1,175,735 is: 2,558,493.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,299.50 : 1,175,735 = 1,175,735 : x
  2. Step 2: Convert to fraction form
    540,299.50/1,175,735 = 1,175,735/x
  3. Step 3: Cross multiply
    540,299.50x = 1,175,735 × 1,175,735
  4. Step 4: Simplify right side
    540,299.50x = 1,382,352,790,225
  5. Step 5: Solve for x
    x = 1,382,352,790,225/540,299.50
  6. Step 6: Final answer
    x = 2,558,493.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.