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Finding the Third Proportional to 483,813 and 768,624.75

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Solution

The third proportional to 483,813 and 768,624.75 is: 1,221,099.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,813 : 768,624.75 = 768,624.75 : x
  2. Step 2: Convert to fraction form
    483,813/768,624.75 = 768,624.75/x
  3. Step 3: Cross multiply
    483,813x = 768,624.75 × 768,624.75
  4. Step 4: Simplify right side
    483,813x = 590,784,006,312.56
  5. Step 5: Solve for x
    x = 590,784,006,312.56/483,813
  6. Step 6: Final answer
    x = 1,221,099.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.