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Finding the Third Proportional to 360,487.13 and 543,493.69

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Solution

The third proportional to 360,487.13 and 543,493.69 is: 819,406.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,487.13 : 543,493.69 = 543,493.69 : x
  2. Step 2: Convert to fraction form
    360,487.13/543,493.69 = 543,493.69/x
  3. Step 3: Cross multiply
    360,487.13x = 543,493.69 × 543,493.69
  4. Step 4: Simplify right side
    360,487.13x = 295,385,388,352.35
  5. Step 5: Solve for x
    x = 295,385,388,352.35/360,487.13
  6. Step 6: Final answer
    x = 819,406.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.