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Finding the Third Proportional to 463,766 and 737,723

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Solution

The third proportional to 463,766 and 737,723 is: 1,173,512.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,766 : 737,723 = 737,723 : x
  2. Step 2: Convert to fraction form
    463,766/737,723 = 737,723/x
  3. Step 3: Cross multiply
    463,766x = 737,723 × 737,723
  4. Step 4: Simplify right side
    463,766x = 544,235,224,729
  5. Step 5: Solve for x
    x = 544,235,224,729/463,766
  6. Step 6: Final answer
    x = 1,173,512.56

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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.