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Finding the Third Proportional to 408,462.75 and 483,549.75

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Solution

The third proportional to 408,462.75 and 483,549.75 is: 572,439.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,462.75 : 483,549.75 = 483,549.75 : x
  2. Step 2: Convert to fraction form
    408,462.75/483,549.75 = 483,549.75/x
  3. Step 3: Cross multiply
    408,462.75x = 483,549.75 × 483,549.75
  4. Step 4: Simplify right side
    408,462.75x = 233,820,360,725.06
  5. Step 5: Solve for x
    x = 233,820,360,725.06/408,462.75
  6. Step 6: Final answer
    x = 572,439.86

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.