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Finding the Third Proportional to 483,723 and 762,684

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Solution

The third proportional to 483,723 and 762,684 is: 1,202,520.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,723 : 762,684 = 762,684 : x
  2. Step 2: Convert to fraction form
    483,723/762,684 = 762,684/x
  3. Step 3: Cross multiply
    483,723x = 762,684 × 762,684
  4. Step 4: Simplify right side
    483,723x = 581,686,883,856
  5. Step 5: Solve for x
    x = 581,686,883,856/483,723
  6. Step 6: Final answer
    x = 1,202,520.62

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.