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Finding the Third Proportional to 479,607.75 and 739,098

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Solution

The third proportional to 479,607.75 and 739,098 is: 1,138,984.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,607.75 : 739,098 = 739,098 : x
  2. Step 2: Convert to fraction form
    479,607.75/739,098 = 739,098/x
  3. Step 3: Cross multiply
    479,607.75x = 739,098 × 739,098
  4. Step 4: Simplify right side
    479,607.75x = 546,265,853,604
  5. Step 5: Solve for x
    x = 546,265,853,604/479,607.75
  6. Step 6: Final answer
    x = 1,138,984.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.