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Finding the Third Proportional to 293,844 and 465,918

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Solution

The third proportional to 293,844 and 465,918 is: 738,757.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,844 : 465,918 = 465,918 : x
  2. Step 2: Convert to fraction form
    293,844/465,918 = 465,918/x
  3. Step 3: Cross multiply
    293,844x = 465,918 × 465,918
  4. Step 4: Simplify right side
    293,844x = 217,079,582,724
  5. Step 5: Solve for x
    x = 217,079,582,724/293,844
  6. Step 6: Final answer
    x = 738,757.92

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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.