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Finding the Third Proportional to 482,848 and 751,880

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Solution

The third proportional to 482,848 and 751,880 is: 1,170,810.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,848 : 751,880 = 751,880 : x
  2. Step 2: Convert to fraction form
    482,848/751,880 = 751,880/x
  3. Step 3: Cross multiply
    482,848x = 751,880 × 751,880
  4. Step 4: Simplify right side
    482,848x = 565,323,534,400
  5. Step 5: Solve for x
    x = 565,323,534,400/482,848
  6. Step 6: Final answer
    x = 1,170,810.55

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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.