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Finding the Third Proportional to 481,800 and 749,388

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Solution

The third proportional to 481,800 and 749,388 is: 1,165,592.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,800 : 749,388 = 749,388 : x
  2. Step 2: Convert to fraction form
    481,800/749,388 = 749,388/x
  3. Step 3: Cross multiply
    481,800x = 749,388 × 749,388
  4. Step 4: Simplify right side
    481,800x = 561,582,374,544
  5. Step 5: Solve for x
    x = 561,582,374,544/481,800
  6. Step 6: Final answer
    x = 1,165,592.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.