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Finding the Third Proportional to 483,144 and 723,564

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Solution

The third proportional to 483,144 and 723,564 is: 1,083,620.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,144 : 723,564 = 723,564 : x
  2. Step 2: Convert to fraction form
    483,144/723,564 = 723,564/x
  3. Step 3: Cross multiply
    483,144x = 723,564 × 723,564
  4. Step 4: Simplify right side
    483,144x = 523,544,862,096
  5. Step 5: Solve for x
    x = 523,544,862,096/483,144
  6. Step 6: Final answer
    x = 1,083,620.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.