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Finding the Third Proportional to 360,483.75 and 543,486.38

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Solution

The third proportional to 360,483.75 and 543,486.38 is: 819,391.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,483.75 : 543,486.38 = 543,486.38 : x
  2. Step 2: Convert to fraction form
    360,483.75/543,486.38 = 543,486.38/x
  3. Step 3: Cross multiply
    360,483.75x = 543,486.38 × 543,486.38
  4. Step 4: Simplify right side
    360,483.75x = 295,377,439,810.64
  5. Step 5: Solve for x
    x = 295,377,439,810.64/360,483.75
  6. Step 6: Final answer
    x = 819,391.83

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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.