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Finding the Third Proportional to 482,649 and 723,039

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Solution

The third proportional to 482,649 and 723,039 is: 1,083,158.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,649 : 723,039 = 723,039 : x
  2. Step 2: Convert to fraction form
    482,649/723,039 = 723,039/x
  3. Step 3: Cross multiply
    482,649x = 723,039 × 723,039
  4. Step 4: Simplify right side
    482,649x = 522,785,395,521
  5. Step 5: Solve for x
    x = 522,785,395,521/482,649
  6. Step 6: Final answer
    x = 1,083,158.56

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Why These Related Problems?

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